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Finding the Fourth Proportional to 32,337.96, 48,506.94 and 10,153.05

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Solution

The fourth proportional to 32,337.96, 48,506.94 and 10,153.05 is: 15,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,337.96 : 48,506.94 = 10,153.05 : x
  2. Step 2: Convert to fraction form
    32,337.96/48,506.94 = 10,153.05/x
  3. Step 3: Cross multiply
    32,337.96x = 48,506.94 × 10,153.05
  4. Step 4: Simplify right side
    32,337.96x = 492,493,387.17
  5. Step 5: Solve for x
    x = 492,493,387.17/32,337.96
  6. Step 6: Final answer
    x = 15,229.58

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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.