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Finding the Fourth Proportional to 55,316.88, 82,839.15 and 31,565.79

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Solution

The fourth proportional to 55,316.88, 82,839.15 and 31,565.79 is: 47,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,316.88 : 82,839.15 = 31,565.79 : x
  2. Step 2: Convert to fraction form
    55,316.88/82,839.15 = 31,565.79/x
  3. Step 3: Cross multiply
    55,316.88x = 82,839.15 × 31,565.79
  4. Step 4: Simplify right side
    55,316.88x = 2,614,883,212.68
  5. Step 5: Solve for x
    x = 2,614,883,212.68/55,316.88
  6. Step 6: Final answer
    x = 47,270.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.