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Finding the Fourth Proportional to 32,260.68, 48,382.80 and 10,076.31

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Solution

The fourth proportional to 32,260.68, 48,382.80 and 10,076.31 is: 15,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,260.68 : 48,382.80 = 10,076.31 : x
  2. Step 2: Convert to fraction form
    32,260.68/48,382.80 = 10,076.31/x
  3. Step 3: Cross multiply
    32,260.68x = 48,382.80 × 10,076.31
  4. Step 4: Simplify right side
    32,260.68x = 487,520,091.47
  5. Step 5: Solve for x
    x = 487,520,091.47/32,260.68
  6. Step 6: Final answer
    x = 15,111.90

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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.