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Finding the Fourth Proportional to 32,288.14, 48,505.12 and 19,149.13

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Solution

The fourth proportional to 32,288.14, 48,505.12 and 19,149.13 is: 28,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288.14 : 48,505.12 = 19,149.13 : x
  2. Step 2: Convert to fraction form
    32,288.14/48,505.12 = 19,149.13/x
  3. Step 3: Cross multiply
    32,288.14x = 48,505.12 × 19,149.13
  4. Step 4: Simplify right side
    32,288.14x = 928,830,679.41
  5. Step 5: Solve for x
    x = 928,830,679.41/32,288.14
  6. Step 6: Final answer
    x = 28,766.93

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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.