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Finding the Fourth Proportional to 29,442, 44,152.20 and 9,714.72

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Solution

The fourth proportional to 29,442, 44,152.20 and 9,714.72 is: 14,568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,442 : 44,152.20 = 9,714.72 : x
  2. Step 2: Convert to fraction form
    29,442/44,152.20 = 9,714.72/x
  3. Step 3: Cross multiply
    29,442x = 44,152.20 × 9,714.72
  4. Step 4: Simplify right side
    29,442x = 428,926,260.38
  5. Step 5: Solve for x
    x = 428,926,260.38/29,442
  6. Step 6: Final answer
    x = 14,568.52

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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.