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Finding the Fourth Proportional to 83,077.64, 114,600.98 and 54,443.49

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Solution

The fourth proportional to 83,077.64, 114,600.98 and 54,443.49 is: 75,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,077.64 : 114,600.98 = 54,443.49 : x
  2. Step 2: Convert to fraction form
    83,077.64/114,600.98 = 54,443.49/x
  3. Step 3: Cross multiply
    83,077.64x = 114,600.98 × 54,443.49
  4. Step 4: Simplify right side
    83,077.64x = 6,239,277,444.73
  5. Step 5: Solve for x
    x = 6,239,277,444.73/83,077.64
  6. Step 6: Final answer
    x = 75,101.76

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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.