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Finding the Fourth Proportional to 29,152.53, 43,730.16 and 9,432.63

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Solution

The fourth proportional to 29,152.53, 43,730.16 and 9,432.63 is: 14,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,152.53 : 43,730.16 = 9,432.63 : x
  2. Step 2: Convert to fraction form
    29,152.53/43,730.16 = 9,432.63/x
  3. Step 3: Cross multiply
    29,152.53x = 43,730.16 × 9,432.63
  4. Step 4: Simplify right side
    29,152.53x = 412,490,419.12
  5. Step 5: Solve for x
    x = 412,490,419.12/29,152.53
  6. Step 6: Final answer
    x = 14,149.39

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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.