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Finding the Fourth Proportional to 52,894.80, 79,344.12 and 17,834.76

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Solution

The fourth proportional to 52,894.80, 79,344.12 and 17,834.76 is: 26,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894.80 : 79,344.12 = 17,834.76 : x
  2. Step 2: Convert to fraction form
    52,894.80/79,344.12 = 17,834.76/x
  3. Step 3: Cross multiply
    52,894.80x = 79,344.12 × 17,834.76
  4. Step 4: Simplify right side
    52,894.80x = 1,415,083,337.61
  5. Step 5: Solve for x
    x = 1,415,083,337.61/52,894.80
  6. Step 6: Final answer
    x = 26,752.79

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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.