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Finding the Fourth Proportional to 83,322.72, 114,982.50 and 47,524.26

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Solution

The fourth proportional to 83,322.72, 114,982.50 and 47,524.26 is: 65,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.72 : 114,982.50 = 47,524.26 : x
  2. Step 2: Convert to fraction form
    83,322.72/114,982.50 = 47,524.26/x
  3. Step 3: Cross multiply
    83,322.72x = 114,982.50 × 47,524.26
  4. Step 4: Simplify right side
    83,322.72x = 5,464,458,225.45
  5. Step 5: Solve for x
    x = 5,464,458,225.45/83,322.72
  6. Step 6: Final answer
    x = 65,581.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.