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Finding the Fourth Proportional to 40,817.12, 61,214.07 and 15,851.84

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Solution

The fourth proportional to 40,817.12, 61,214.07 and 15,851.84 is: 23,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,817.12 : 61,214.07 = 15,851.84 : x
  2. Step 2: Convert to fraction form
    40,817.12/61,214.07 = 15,851.84/x
  3. Step 3: Cross multiply
    40,817.12x = 61,214.07 × 15,851.84
  4. Step 4: Simplify right side
    40,817.12x = 970,355,337.32
  5. Step 5: Solve for x
    x = 970,355,337.32/40,817.12
  6. Step 6: Final answer
    x = 23,773.25

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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.