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Finding the Fourth Proportional to 124,663, 187,004.24 and 41,557

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Solution

The fourth proportional to 124,663, 187,004.24 and 41,557 is: 62,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,663 : 187,004.24 = 41,557 : x
  2. Step 2: Convert to fraction form
    124,663/187,004.24 = 41,557/x
  3. Step 3: Cross multiply
    124,663x = 187,004.24 × 41,557
  4. Step 4: Simplify right side
    124,663x = 7,771,335,201.68
  5. Step 5: Solve for x
    x = 7,771,335,201.68/124,663
  6. Step 6: Final answer
    x = 62,338.75

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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.