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Finding the Fourth Proportional to 32,077.70, 48,116.55 and 9,889.10

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Solution

The fourth proportional to 32,077.70, 48,116.55 and 9,889.10 is: 14,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.70 : 48,116.55 = 9,889.10 : x
  2. Step 2: Convert to fraction form
    32,077.70/48,116.55 = 9,889.10/x
  3. Step 3: Cross multiply
    32,077.70x = 48,116.55 × 9,889.10
  4. Step 4: Simplify right side
    32,077.70x = 475,829,374.61
  5. Step 5: Solve for x
    x = 475,829,374.61/32,077.70
  6. Step 6: Final answer
    x = 14,833.65

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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.