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Finding the Fourth Proportional to 83,323.32, 114,991.26 and 47,520.24

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Solution

The fourth proportional to 83,323.32, 114,991.26 and 47,520.24 is: 65,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,323.32 : 114,991.26 = 47,520.24 : x
  2. Step 2: Convert to fraction form
    83,323.32/114,991.26 = 47,520.24/x
  3. Step 3: Cross multiply
    83,323.32x = 114,991.26 × 47,520.24
  4. Step 4: Simplify right side
    83,323.32x = 5,464,412,273.10
  5. Step 5: Solve for x
    x = 5,464,412,273.10/83,323.32
  6. Step 6: Final answer
    x = 65,580.83

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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.