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Finding the Fourth Proportional to 32,471,234.56, 44,793,314.56 and 20,077,366.24

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Solution

The fourth proportional to 32,471,234.56, 44,793,314.56 and 20,077,366.24 is: 27,696,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471,234.56 : 44,793,314.56 = 20,077,366.24 : x
  2. Step 2: Convert to fraction form
    32,471,234.56/44,793,314.56 = 20,077,366.24/x
  3. Step 3: Cross multiply
    32,471,234.56x = 44,793,314.56 × 20,077,366.24
  4. Step 4: Simplify right side
    32,471,234.56x = 899,331,781,524,644.38
  5. Step 5: Solve for x
    x = 899,331,781,524,644.38/32,471,234.56
  6. Step 6: Final answer
    x = 27,696,260.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.