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Finding the Fourth Proportional to 55,898.81, 77,139.14 and 32,039.55

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Solution

The fourth proportional to 55,898.81, 77,139.14 and 32,039.55 is: 44,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,898.81 : 77,139.14 = 32,039.55 : x
  2. Step 2: Convert to fraction form
    55,898.81/77,139.14 = 32,039.55/x
  3. Step 3: Cross multiply
    55,898.81x = 77,139.14 × 32,039.55
  4. Step 4: Simplify right side
    55,898.81x = 2,471,503,172.79
  5. Step 5: Solve for x
    x = 2,471,503,172.79/55,898.81
  6. Step 6: Final answer
    x = 44,213.88

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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.