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Finding the Fourth Proportional to 74,930.64, 112,395.92 and 22,377

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Solution

The fourth proportional to 74,930.64, 112,395.92 and 22,377 is: 33,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,930.64 : 112,395.92 = 22,377 : x
  2. Step 2: Convert to fraction form
    74,930.64/112,395.92 = 22,377/x
  3. Step 3: Cross multiply
    74,930.64x = 112,395.92 × 22,377
  4. Step 4: Simplify right side
    74,930.64x = 2,515,083,501.84
  5. Step 5: Solve for x
    x = 2,515,083,501.84/74,930.64
  6. Step 6: Final answer
    x = 33,565.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.