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Finding the Fourth Proportional to 29,932, 44,899.80 and 9,155.68

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Solution

The fourth proportional to 29,932, 44,899.80 and 9,155.68 is: 13,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932 : 44,899.80 = 9,155.68 : x
  2. Step 2: Convert to fraction form
    29,932/44,899.80 = 9,155.68/x
  3. Step 3: Cross multiply
    29,932x = 44,899.80 × 9,155.68
  4. Step 4: Simplify right side
    29,932x = 411,088,200.86
  5. Step 5: Solve for x
    x = 411,088,200.86/29,932
  6. Step 6: Final answer
    x = 13,734.07

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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.