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Finding the Fourth Proportional to 32,084.14, 48,123.06 and 9,891.52

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Solution

The fourth proportional to 32,084.14, 48,123.06 and 9,891.52 is: 14,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.14 : 48,123.06 = 9,891.52 : x
  2. Step 2: Convert to fraction form
    32,084.14/48,123.06 = 9,891.52/x
  3. Step 3: Cross multiply
    32,084.14x = 48,123.06 × 9,891.52
  4. Step 4: Simplify right side
    32,084.14x = 476,010,210.45
  5. Step 5: Solve for x
    x = 476,010,210.45/32,084.14
  6. Step 6: Final answer
    x = 14,836.31

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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.