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Finding the Fourth Proportional to 32,084.64, 48,123.81 and 9,892.02

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Solution

The fourth proportional to 32,084.64, 48,123.81 and 9,892.02 is: 14,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.64 : 48,123.81 = 9,892.02 : x
  2. Step 2: Convert to fraction form
    32,084.64/48,123.81 = 9,892.02/x
  3. Step 3: Cross multiply
    32,084.64x = 48,123.81 × 9,892.02
  4. Step 4: Simplify right side
    32,084.64x = 476,041,691.00
  5. Step 5: Solve for x
    x = 476,041,691.00/32,084.64
  6. Step 6: Final answer
    x = 14,837.06

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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.