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Finding the Fourth Proportional to 53,321.38, 73,583.10 and 29,447.86

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Solution

The fourth proportional to 53,321.38, 73,583.10 and 29,447.86 is: 40,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,321.38 : 73,583.10 = 29,447.86 : x
  2. Step 2: Convert to fraction form
    53,321.38/73,583.10 = 29,447.86/x
  3. Step 3: Cross multiply
    53,321.38x = 73,583.10 × 29,447.86
  4. Step 4: Simplify right side
    53,321.38x = 2,166,864,827.17
  5. Step 5: Solve for x
    x = 2,166,864,827.17/53,321.38
  6. Step 6: Final answer
    x = 40,637.82

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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.