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Finding the Fourth Proportional to 51,565.64, 71,147.31 and 30,340.94

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Solution

The fourth proportional to 51,565.64, 71,147.31 and 30,340.94 is: 41,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,565.64 : 71,147.31 = 30,340.94 : x
  2. Step 2: Convert to fraction form
    51,565.64/71,147.31 = 30,340.94/x
  3. Step 3: Cross multiply
    51,565.64x = 71,147.31 × 30,340.94
  4. Step 4: Simplify right side
    51,565.64x = 2,158,676,263.87
  5. Step 5: Solve for x
    x = 2,158,676,263.87/51,565.64
  6. Step 6: Final answer
    x = 41,862.69

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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.