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Finding the Fourth Proportional to 32,171.60, 48,235.80 and 14,632.40

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Solution

The fourth proportional to 32,171.60, 48,235.80 and 14,632.40 is: 21,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.60 : 48,235.80 = 14,632.40 : x
  2. Step 2: Convert to fraction form
    32,171.60/48,235.80 = 14,632.40/x
  3. Step 3: Cross multiply
    32,171.60x = 48,235.80 × 14,632.40
  4. Step 4: Simplify right side
    32,171.60x = 705,805,519.92
  5. Step 5: Solve for x
    x = 705,805,519.92/32,171.60
  6. Step 6: Final answer
    x = 21,938.78

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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.