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Finding the Fourth Proportional to 55,861.48, 77,089.62 and 30,711.52

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Solution

The fourth proportional to 55,861.48, 77,089.62 and 30,711.52 is: 42,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,861.48 : 77,089.62 = 30,711.52 : x
  2. Step 2: Convert to fraction form
    55,861.48/77,089.62 = 30,711.52/x
  3. Step 3: Cross multiply
    55,861.48x = 77,089.62 × 30,711.52
  4. Step 4: Simplify right side
    55,861.48x = 2,367,539,406.42
  5. Step 5: Solve for x
    x = 2,367,539,406.42/55,861.48
  6. Step 6: Final answer
    x = 42,382.33

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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.