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Finding the Fourth Proportional to 41,152.08, 61,737.88 and 13,450

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Solution

The fourth proportional to 41,152.08, 61,737.88 and 13,450 is: 20,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,152.08 : 61,737.88 = 13,450 : x
  2. Step 2: Convert to fraction form
    41,152.08/61,737.88 = 13,450/x
  3. Step 3: Cross multiply
    41,152.08x = 61,737.88 × 13,450
  4. Step 4: Simplify right side
    41,152.08x = 830,374,486
  5. Step 5: Solve for x
    x = 830,374,486/41,152.08
  6. Step 6: Final answer
    x = 20,178.19

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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.