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Finding the Fourth Proportional to 29,434.24, 44,152.89 and 9,714.34

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Solution

The fourth proportional to 29,434.24, 44,152.89 and 9,714.34 is: 14,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,434.24 : 44,152.89 = 9,714.34 : x
  2. Step 2: Convert to fraction form
    29,434.24/44,152.89 = 9,714.34/x
  3. Step 3: Cross multiply
    29,434.24x = 44,152.89 × 9,714.34
  4. Step 4: Simplify right side
    29,434.24x = 428,915,983.17
  5. Step 5: Solve for x
    x = 428,915,983.17/29,434.24
  6. Step 6: Final answer
    x = 14,572.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.