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Finding the Fourth Proportional to 71,653.44, 107,332.32 and 41,981.16

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Solution

The fourth proportional to 71,653.44, 107,332.32 and 41,981.16 is: 62,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,653.44 : 107,332.32 = 41,981.16 : x
  2. Step 2: Convert to fraction form
    71,653.44/107,332.32 = 41,981.16/x
  3. Step 3: Cross multiply
    71,653.44x = 107,332.32 × 41,981.16
  4. Step 4: Simplify right side
    71,653.44x = 4,505,935,299.09
  5. Step 5: Solve for x
    x = 4,505,935,299.09/71,653.44
  6. Step 6: Final answer
    x = 62,885.12

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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.