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Finding the Fourth Proportional to 51,194.57, 70,652.05 and 31,052.30

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Solution

The fourth proportional to 51,194.57, 70,652.05 and 31,052.30 is: 42,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194.57 : 70,652.05 = 31,052.30 : x
  2. Step 2: Convert to fraction form
    51,194.57/70,652.05 = 31,052.30/x
  3. Step 3: Cross multiply
    51,194.57x = 70,652.05 × 31,052.30
  4. Step 4: Simplify right side
    51,194.57x = 2,193,908,221.32
  5. Step 5: Solve for x
    x = 2,193,908,221.32/51,194.57
  6. Step 6: Final answer
    x = 42,854.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.