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Finding the Fourth Proportional to 67,407, 101,122.38 and 23,023.35

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Solution

The fourth proportional to 67,407, 101,122.38 and 23,023.35 is: 34,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,407 : 101,122.38 = 23,023.35 : x
  2. Step 2: Convert to fraction form
    67,407/101,122.38 = 23,023.35/x
  3. Step 3: Cross multiply
    67,407x = 101,122.38 × 23,023.35
  4. Step 4: Simplify right side
    67,407x = 2,328,175,947.57
  5. Step 5: Solve for x
    x = 2,328,175,947.57/67,407
  6. Step 6: Final answer
    x = 34,539.08

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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.