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Finding the Fourth Proportional to 83,184.88, 114,799.80 and 54,870.52

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Solution

The fourth proportional to 83,184.88, 114,799.80 and 54,870.52 is: 75,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,184.88 : 114,799.80 = 54,870.52 : x
  2. Step 2: Convert to fraction form
    83,184.88/114,799.80 = 54,870.52/x
  3. Step 3: Cross multiply
    83,184.88x = 114,799.80 × 54,870.52
  4. Step 4: Simplify right side
    83,184.88x = 6,299,124,721.90
  5. Step 5: Solve for x
    x = 6,299,124,721.90/83,184.88
  6. Step 6: Final answer
    x = 75,724.40

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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.