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Finding the Fourth Proportional to 55,715.82, 76,883.22 and 30,565.32

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Solution

The fourth proportional to 55,715.82, 76,883.22 and 30,565.32 is: 42,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,715.82 : 76,883.22 = 30,565.32 : x
  2. Step 2: Convert to fraction form
    55,715.82/76,883.22 = 30,565.32/x
  3. Step 3: Cross multiply
    55,715.82x = 76,883.22 × 30,565.32
  4. Step 4: Simplify right side
    55,715.82x = 2,349,960,221.93
  5. Step 5: Solve for x
    x = 2,349,960,221.93/55,715.82
  6. Step 6: Final answer
    x = 42,177.61

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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.