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Finding the Fourth Proportional to 83,586.96, 115,353 and 45,862.32

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Solution

The fourth proportional to 83,586.96, 115,353 and 45,862.32 is: 63,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,586.96 : 115,353 = 45,862.32 : x
  2. Step 2: Convert to fraction form
    83,586.96/115,353 = 45,862.32/x
  3. Step 3: Cross multiply
    83,586.96x = 115,353 × 45,862.32
  4. Step 4: Simplify right side
    83,586.96x = 5,290,356,198.96
  5. Step 5: Solve for x
    x = 5,290,356,198.96/83,586.96
  6. Step 6: Final answer
    x = 63,291.65

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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.