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Finding the Fourth Proportional to 32,094.84, 48,124.56 and 9,902.04

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Solution

The fourth proportional to 32,094.84, 48,124.56 and 9,902.04 is: 14,847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.84 : 48,124.56 = 9,902.04 : x
  2. Step 2: Convert to fraction form
    32,094.84/48,124.56 = 9,902.04/x
  3. Step 3: Cross multiply
    32,094.84x = 48,124.56 × 9,902.04
  4. Step 4: Simplify right side
    32,094.84x = 476,531,318.10
  5. Step 5: Solve for x
    x = 476,531,318.10/32,094.84
  6. Step 6: Final answer
    x = 14,847.60

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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.