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Finding the Fourth Proportional to 29,357.10, 44,023.32 and 9,624.78

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Solution

The fourth proportional to 29,357.10, 44,023.32 and 9,624.78 is: 14,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,357.10 : 44,023.32 = 9,624.78 : x
  2. Step 2: Convert to fraction form
    29,357.10/44,023.32 = 9,624.78/x
  3. Step 3: Cross multiply
    29,357.10x = 44,023.32 × 9,624.78
  4. Step 4: Simplify right side
    29,357.10x = 423,714,769.87
  5. Step 5: Solve for x
    x = 423,714,769.87/29,357.10
  6. Step 6: Final answer
    x = 14,433.13

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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.