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Finding the Fourth Proportional to 83,494.68, 115,180.30 and 52,816.08

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Solution

The fourth proportional to 83,494.68, 115,180.30 and 52,816.08 is: 72,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494.68 : 115,180.30 = 52,816.08 : x
  2. Step 2: Convert to fraction form
    83,494.68/115,180.30 = 52,816.08/x
  3. Step 3: Cross multiply
    83,494.68x = 115,180.30 × 52,816.08
  4. Step 4: Simplify right side
    83,494.68x = 6,083,371,807.18
  5. Step 5: Solve for x
    x = 6,083,371,807.18/83,494.68
  6. Step 6: Final answer
    x = 72,859.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.