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Finding the Fourth Proportional to 83,894.06, 115,789.72 and 53,692.22

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Solution

The fourth proportional to 83,894.06, 115,789.72 and 53,692.22 is: 74,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.06 : 115,789.72 = 53,692.22 : x
  2. Step 2: Convert to fraction form
    83,894.06/115,789.72 = 53,692.22/x
  3. Step 3: Cross multiply
    83,894.06x = 115,789.72 × 53,692.22
  4. Step 4: Simplify right side
    83,894.06x = 6,217,007,119.98
  5. Step 5: Solve for x
    x = 6,217,007,119.98/83,894.06
  6. Step 6: Final answer
    x = 74,105.45

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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.