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Finding the Fourth Proportional to 52,894.81, 79,344.11 and 17,834.77

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Solution

The fourth proportional to 52,894.81, 79,344.11 and 17,834.77 is: 26,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894.81 : 79,344.11 = 17,834.77 : x
  2. Step 2: Convert to fraction form
    52,894.81/79,344.11 = 17,834.77/x
  3. Step 3: Cross multiply
    52,894.81x = 79,344.11 × 17,834.77
  4. Step 4: Simplify right side
    52,894.81x = 1,415,083,952.70
  5. Step 5: Solve for x
    x = 1,415,083,952.70/52,894.81
  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.