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Finding the Fourth Proportional to 56,422.38, 77,862.41 and 30,930.18

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Solution

The fourth proportional to 56,422.38, 77,862.41 and 30,930.18 is: 42,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,422.38 : 77,862.41 = 30,930.18 : x
  2. Step 2: Convert to fraction form
    56,422.38/77,862.41 = 30,930.18/x
  3. Step 3: Cross multiply
    56,422.38x = 77,862.41 × 30,930.18
  4. Step 4: Simplify right side
    56,422.38x = 2,408,298,201.88
  5. Step 5: Solve for x
    x = 2,408,298,201.88/56,422.38
  6. Step 6: Final answer
    x = 42,683.39

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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.