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Finding the Fourth Proportional to 71,871.86, 107,827.24 and 40,728.98

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Solution

The fourth proportional to 71,871.86, 107,827.24 and 40,728.98 is: 61,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.86 : 107,827.24 = 40,728.98 : x
  2. Step 2: Convert to fraction form
    71,871.86/107,827.24 = 40,728.98/x
  3. Step 3: Cross multiply
    71,871.86x = 107,827.24 × 40,728.98
  4. Step 4: Simplify right side
    71,871.86x = 4,391,693,501.42
  5. Step 5: Solve for x
    x = 4,391,693,501.42/71,871.86
  6. Step 6: Final answer
    x = 61,104.49

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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.