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Finding the Fourth Proportional to 31,561.60, 47,342.48 and 8,188.04

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Solution

The fourth proportional to 31,561.60, 47,342.48 and 8,188.04 is: 12,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561.60 : 47,342.48 = 8,188.04 : x
  2. Step 2: Convert to fraction form
    31,561.60/47,342.48 = 8,188.04/x
  3. Step 3: Cross multiply
    31,561.60x = 47,342.48 × 8,188.04
  4. Step 4: Simplify right side
    31,561.60x = 387,641,931.05
  5. Step 5: Solve for x
    x = 387,641,931.05/31,561.60
  6. Step 6: Final answer
    x = 12,282.08

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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.