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Finding the Fourth Proportional to 29,434.57, 44,153.38 and 9,714.66

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Solution

The fourth proportional to 29,434.57, 44,153.38 and 9,714.66 is: 14,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,434.57 : 44,153.38 = 9,714.66 : x
  2. Step 2: Convert to fraction form
    29,434.57/44,153.38 = 9,714.66/x
  3. Step 3: Cross multiply
    29,434.57x = 44,153.38 × 9,714.66
  4. Step 4: Simplify right side
    29,434.57x = 428,935,252.27
  5. Step 5: Solve for x
    x = 428,935,252.27/29,434.57
  6. Step 6: Final answer
    x = 14,572.50

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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.