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Finding the Fourth Proportional to 67,645.60, 101,468.40 and 47,946.40

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Solution

The fourth proportional to 67,645.60, 101,468.40 and 47,946.40 is: 71,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,645.60 : 101,468.40 = 47,946.40 : x
  2. Step 2: Convert to fraction form
    67,645.60/101,468.40 = 47,946.40/x
  3. Step 3: Cross multiply
    67,645.60x = 101,468.40 × 47,946.40
  4. Step 4: Simplify right side
    67,645.60x = 4,865,044,493.76
  5. Step 5: Solve for x
    x = 4,865,044,493.76/67,645.60
  6. Step 6: Final answer
    x = 71,919.60

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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.