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Finding the Fourth Proportional to 32,089.06, 48,129.49 and 13,365.61

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Solution

The fourth proportional to 32,089.06, 48,129.49 and 13,365.61 is: 20,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.06 : 48,129.49 = 13,365.61 : x
  2. Step 2: Convert to fraction form
    32,089.06/48,129.49 = 13,365.61/x
  3. Step 3: Cross multiply
    32,089.06x = 48,129.49 × 13,365.61
  4. Step 4: Simplify right side
    32,089.06x = 643,279,889.22
  5. Step 5: Solve for x
    x = 643,279,889.22/32,089.06
  6. Step 6: Final answer
    x = 20,046.70

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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.