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Finding the Fourth Proportional to 56,853.38, 78,479.28 and 42,747.20

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Solution

The fourth proportional to 56,853.38, 78,479.28 and 42,747.20 is: 59,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,853.38 : 78,479.28 = 42,747.20 : x
  2. Step 2: Convert to fraction form
    56,853.38/78,479.28 = 42,747.20/x
  3. Step 3: Cross multiply
    56,853.38x = 78,479.28 × 42,747.20
  4. Step 4: Simplify right side
    56,853.38x = 3,354,769,478.02
  5. Step 5: Solve for x
    x = 3,354,769,478.02/56,853.38
  6. Step 6: Final answer
    x = 59,007.39

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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.