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Finding the Fourth Proportional to 35,565.96, 49,044.18 and 30,546.78

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Solution

The fourth proportional to 35,565.96, 49,044.18 and 30,546.78 is: 42,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,565.96 : 49,044.18 = 30,546.78 : x
  2. Step 2: Convert to fraction form
    35,565.96/49,044.18 = 30,546.78/x
  3. Step 3: Cross multiply
    35,565.96x = 49,044.18 × 30,546.78
  4. Step 4: Simplify right side
    35,565.96x = 1,498,141,776.74
  5. Step 5: Solve for x
    x = 1,498,141,776.74/35,565.96
  6. Step 6: Final answer
    x = 42,122.91

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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.