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Finding the Fourth Proportional to 52,470.87, 78,717.53 and 16,934.22

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Solution

The fourth proportional to 52,470.87, 78,717.53 and 16,934.22 is: 25,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470.87 : 78,717.53 = 16,934.22 : x
  2. Step 2: Convert to fraction form
    52,470.87/78,717.53 = 16,934.22/x
  3. Step 3: Cross multiply
    52,470.87x = 78,717.53 × 16,934.22
  4. Step 4: Simplify right side
    52,470.87x = 1,333,019,886.21
  5. Step 5: Solve for x
    x = 1,333,019,886.21/52,470.87
  6. Step 6: Final answer
    x = 25,404.95

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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.