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Finding the Fourth Proportional to 83,692.65, 115,452.99 and 53,446.17

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Solution

The fourth proportional to 83,692.65, 115,452.99 and 53,446.17 is: 73,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,692.65 : 115,452.99 = 53,446.17 : x
  2. Step 2: Convert to fraction form
    83,692.65/115,452.99 = 53,446.17/x
  3. Step 3: Cross multiply
    83,692.65x = 115,452.99 × 53,446.17
  4. Step 4: Simplify right side
    83,692.65x = 6,170,520,130.55
  5. Step 5: Solve for x
    x = 6,170,520,130.55/83,692.65
  6. Step 6: Final answer
    x = 73,728.34

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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.