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Finding the Fourth Proportional to 67,759, 101,540.10 and 48,076

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Solution

The fourth proportional to 67,759, 101,540.10 and 48,076 is: 72,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,759 : 101,540.10 = 48,076 : x
  2. Step 2: Convert to fraction form
    67,759/101,540.10 = 48,076/x
  3. Step 3: Cross multiply
    67,759x = 101,540.10 × 48,076
  4. Step 4: Simplify right side
    67,759x = 4,881,641,847.60
  5. Step 5: Solve for x
    x = 4,881,641,847.60/67,759
  6. Step 6: Final answer
    x = 72,044.18

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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.