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Finding the Fourth Proportional to 83,765.32, 115,597.03 and 45,524.86

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Solution

The fourth proportional to 83,765.32, 115,597.03 and 45,524.86 is: 62,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,765.32 : 115,597.03 = 45,524.86 : x
  2. Step 2: Convert to fraction form
    83,765.32/115,597.03 = 45,524.86/x
  3. Step 3: Cross multiply
    83,765.32x = 115,597.03 × 45,524.86
  4. Step 4: Simplify right side
    83,765.32x = 5,262,539,110.67
  5. Step 5: Solve for x
    x = 5,262,539,110.67/83,765.32
  6. Step 6: Final answer
    x = 62,824.80

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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.