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Finding the Fourth Proportional to 29,931, 44,898.30 and 9,154.68

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Solution

The fourth proportional to 29,931, 44,898.30 and 9,154.68 is: 13,732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,931 : 44,898.30 = 9,154.68 : x
  2. Step 2: Convert to fraction form
    29,931/44,898.30 = 9,154.68/x
  3. Step 3: Cross multiply
    29,931x = 44,898.30 × 9,154.68
  4. Step 4: Simplify right side
    29,931x = 411,029,569.04
  5. Step 5: Solve for x
    x = 411,029,569.04/29,931
  6. Step 6: Final answer
    x = 13,732.57

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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.