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Finding the Fourth Proportional to 32,008.60, 47,999.94 and 11,229.40

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Solution

The fourth proportional to 32,008.60, 47,999.94 and 11,229.40 is: 16,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.60 : 47,999.94 = 11,229.40 : x
  2. Step 2: Convert to fraction form
    32,008.60/47,999.94 = 11,229.40/x
  3. Step 3: Cross multiply
    32,008.60x = 47,999.94 × 11,229.40
  4. Step 4: Simplify right side
    32,008.60x = 539,010,526.24
  5. Step 5: Solve for x
    x = 539,010,526.24/32,008.60
  6. Step 6: Final answer
    x = 16,839.55

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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.