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Finding the Fourth Proportional to 83,143.59, 114,733.85 and 47,333.49

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Solution

The fourth proportional to 83,143.59, 114,733.85 and 47,333.49 is: 65,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,143.59 : 114,733.85 = 47,333.49 : x
  2. Step 2: Convert to fraction form
    83,143.59/114,733.85 = 47,333.49/x
  3. Step 3: Cross multiply
    83,143.59x = 114,733.85 × 47,333.49
  4. Step 4: Simplify right side
    83,143.59x = 5,430,753,304.97
  5. Step 5: Solve for x
    x = 5,430,753,304.97/83,143.59
  6. Step 6: Final answer
    x = 65,317.76

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1.5x scale

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.