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Finding the Fourth Proportional to 61,842.60, 92,723.40 and 24,380.10

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Solution

The fourth proportional to 61,842.60, 92,723.40 and 24,380.10 is: 36,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.60 : 92,723.40 = 24,380.10 : x
  2. Step 2: Convert to fraction form
    61,842.60/92,723.40 = 24,380.10/x
  3. Step 3: Cross multiply
    61,842.60x = 92,723.40 × 24,380.10
  4. Step 4: Simplify right side
    61,842.60x = 2,260,605,764.34
  5. Step 5: Solve for x
    x = 2,260,605,764.34/61,842.60
  6. Step 6: Final answer
    x = 36,554.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.