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Finding the Fourth Proportional to 83,304.80, 114,963.68 and 47,494.43

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Solution

The fourth proportional to 83,304.80, 114,963.68 and 47,494.43 is: 65,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,304.80 : 114,963.68 = 47,494.43 : x
  2. Step 2: Convert to fraction form
    83,304.80/114,963.68 = 47,494.43/x
  3. Step 3: Cross multiply
    83,304.80x = 114,963.68 × 47,494.43
  4. Step 4: Simplify right side
    83,304.80x = 5,460,134,214.83
  5. Step 5: Solve for x
    x = 5,460,134,214.83/83,304.80
  6. Step 6: Final answer
    x = 65,544.05

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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.