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Finding the Fourth Proportional to 55,574.24, 76,691.92 and 30,423.68

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Solution

The fourth proportional to 55,574.24, 76,691.92 and 30,423.68 is: 41,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,574.24 : 76,691.92 = 30,423.68 : x
  2. Step 2: Convert to fraction form
    55,574.24/76,691.92 = 30,423.68/x
  3. Step 3: Cross multiply
    55,574.24x = 76,691.92 × 30,423.68
  4. Step 4: Simplify right side
    55,574.24x = 2,333,250,432.67
  5. Step 5: Solve for x
    x = 2,333,250,432.67/55,574.24
  6. Step 6: Final answer
    x = 41,984.39

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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.