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Finding the Fourth Proportional to 59,830.44, 82,565.02 and 34,335.76

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Solution

The fourth proportional to 59,830.44, 82,565.02 and 34,335.76 is: 47,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,830.44 : 82,565.02 = 34,335.76 : x
  2. Step 2: Convert to fraction form
    59,830.44/82,565.02 = 34,335.76/x
  3. Step 3: Cross multiply
    59,830.44x = 82,565.02 × 34,335.76
  4. Step 4: Simplify right side
    59,830.44x = 2,834,932,711.12
  5. Step 5: Solve for x
    x = 2,834,932,711.12/59,830.44
  6. Step 6: Final answer
    x = 47,382.78

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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.