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Finding the Fourth Proportional to 84,142.32, 126,278.76 and 31,599.60

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Solution

The fourth proportional to 84,142.32, 126,278.76 and 31,599.60 is: 47,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.32 : 126,278.76 = 31,599.60 : x
  2. Step 2: Convert to fraction form
    84,142.32/126,278.76 = 31,599.60/x
  3. Step 3: Cross multiply
    84,142.32x = 126,278.76 × 31,599.60
  4. Step 4: Simplify right side
    84,142.32x = 3,990,358,304.50
  5. Step 5: Solve for x
    x = 3,990,358,304.50/84,142.32
  6. Step 6: Final answer
    x = 47,423.92

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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.