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Finding the Fourth Proportional to 44,931.76, 62,005.68 and 24,514

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Solution

The fourth proportional to 44,931.76, 62,005.68 and 24,514 is: 33,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,931.76 : 62,005.68 = 24,514 : x
  2. Step 2: Convert to fraction form
    44,931.76/62,005.68 = 24,514/x
  3. Step 3: Cross multiply
    44,931.76x = 62,005.68 × 24,514
  4. Step 4: Simplify right side
    44,931.76x = 1,520,007,239.52
  5. Step 5: Solve for x
    x = 1,520,007,239.52/44,931.76
  6. Step 6: Final answer
    x = 33,829.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.