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Finding the Fourth Proportional to 42,921, 64,306.44 and 29,781.72

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Solution

The fourth proportional to 42,921, 64,306.44 and 29,781.72 is: 44,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,921 : 64,306.44 = 29,781.72 : x
  2. Step 2: Convert to fraction form
    42,921/64,306.44 = 29,781.72/x
  3. Step 3: Cross multiply
    42,921x = 64,306.44 × 29,781.72
  4. Step 4: Simplify right side
    42,921x = 1,915,156,390.28
  5. Step 5: Solve for x
    x = 1,915,156,390.28/42,921
  6. Step 6: Final answer
    x = 44,620.50

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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.