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Finding the Fourth Proportional to 32,565.40, 48,864.30 and 12,844.60

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Solution

The fourth proportional to 32,565.40, 48,864.30 and 12,844.60 is: 19,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,565.40 : 48,864.30 = 12,844.60 : x
  2. Step 2: Convert to fraction form
    32,565.40/48,864.30 = 12,844.60/x
  3. Step 3: Cross multiply
    32,565.40x = 48,864.30 × 12,844.60
  4. Step 4: Simplify right side
    32,565.40x = 627,642,387.78
  5. Step 5: Solve for x
    x = 627,642,387.78/32,565.40
  6. Step 6: Final answer
    x = 19,273.29

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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.