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Finding the Fourth Proportional to 55,482.38, 76,565.69 and 30,331.88

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Solution

The fourth proportional to 55,482.38, 76,565.69 and 30,331.88 is: 41,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,482.38 : 76,565.69 = 30,331.88 : x
  2. Step 2: Convert to fraction form
    55,482.38/76,565.69 = 30,331.88/x
  3. Step 3: Cross multiply
    55,482.38x = 76,565.69 × 30,331.88
  4. Step 4: Simplify right side
    55,482.38x = 2,322,380,786.71
  5. Step 5: Solve for x
    x = 2,322,380,786.71/55,482.38
  6. Step 6: Final answer
    x = 41,857.99

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Why These Related Problems?

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