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Finding the Fourth Proportional to 41,156.16, 61,742.88 and 13,452

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Solution

The fourth proportional to 41,156.16, 61,742.88 and 13,452 is: 20,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,156.16 : 61,742.88 = 13,452 : x
  2. Step 2: Convert to fraction form
    41,156.16/61,742.88 = 13,452/x
  3. Step 3: Cross multiply
    41,156.16x = 61,742.88 × 13,452
  4. Step 4: Simplify right side
    41,156.16x = 830,565,221.76
  5. Step 5: Solve for x
    x = 830,565,221.76/41,156.16
  6. Step 6: Final answer
    x = 20,180.82

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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.