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Finding the Fourth Proportional to 32,260.68, 48,392.82 and 10,077.12

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Solution

The fourth proportional to 32,260.68, 48,392.82 and 10,077.12 is: 15,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,260.68 : 48,392.82 = 10,077.12 : x
  2. Step 2: Convert to fraction form
    32,260.68/48,392.82 = 10,077.12/x
  3. Step 3: Cross multiply
    32,260.68x = 48,392.82 × 10,077.12
  4. Step 4: Simplify right side
    32,260.68x = 487,660,254.28
  5. Step 5: Solve for x
    x = 487,660,254.28/32,260.68
  6. Step 6: Final answer
    x = 15,116.24

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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.