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Finding the Fourth Proportional to 52,625.92, 78,781.20 and 38,784.64

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Solution

The fourth proportional to 52,625.92, 78,781.20 and 38,784.64 is: 58,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,625.92 : 78,781.20 = 38,784.64 : x
  2. Step 2: Convert to fraction form
    52,625.92/78,781.20 = 38,784.64/x
  3. Step 3: Cross multiply
    52,625.92x = 78,781.20 × 38,784.64
  4. Step 4: Simplify right side
    52,625.92x = 3,055,500,480.77
  5. Step 5: Solve for x
    x = 3,055,500,480.77/52,625.92
  6. Step 6: Final answer
    x = 58,060.75

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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.