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Finding the Fourth Proportional to 34,800.87, 52,207.80 and 15,826.86

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Solution

The fourth proportional to 34,800.87, 52,207.80 and 15,826.86 is: 23,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,800.87 : 52,207.80 = 15,826.86 : x
  2. Step 2: Convert to fraction form
    34,800.87/52,207.80 = 15,826.86/x
  3. Step 3: Cross multiply
    34,800.87x = 52,207.80 × 15,826.86
  4. Step 4: Simplify right side
    34,800.87x = 826,285,541.51
  5. Step 5: Solve for x
    x = 826,285,541.51/34,800.87
  6. Step 6: Final answer
    x = 23,743.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.