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Finding the Fourth Proportional to 57,640, 86,384.67 and 29,536.24

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Solution

The fourth proportional to 57,640, 86,384.67 and 29,536.24 is: 44,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,640 : 86,384.67 = 29,536.24 : x
  2. Step 2: Convert to fraction form
    57,640/86,384.67 = 29,536.24/x
  3. Step 3: Cross multiply
    57,640x = 86,384.67 × 29,536.24
  4. Step 4: Simplify right side
    57,640x = 2,551,478,345.44
  5. Step 5: Solve for x
    x = 2,551,478,345.44/57,640
  6. Step 6: Final answer
    x = 44,265.76

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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.