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Finding the Fourth Proportional to 31,881.60, 47,820.54 and 12,162.15

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Solution

The fourth proportional to 31,881.60, 47,820.54 and 12,162.15 is: 18,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.60 : 47,820.54 = 12,162.15 : x
  2. Step 2: Convert to fraction form
    31,881.60/47,820.54 = 12,162.15/x
  3. Step 3: Cross multiply
    31,881.60x = 47,820.54 × 12,162.15
  4. Step 4: Simplify right side
    31,881.60x = 581,600,580.56
  5. Step 5: Solve for x
    x = 581,600,580.56/31,881.60
  6. Step 6: Final answer
    x = 18,242.52

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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.