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Finding the Fourth Proportional to 83,052.54, 114,615 and 47,235.96

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Solution

The fourth proportional to 83,052.54, 114,615 and 47,235.96 is: 65,187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,052.54 : 114,615 = 47,235.96 : x
  2. Step 2: Convert to fraction form
    83,052.54/114,615 = 47,235.96/x
  3. Step 3: Cross multiply
    83,052.54x = 114,615 × 47,235.96
  4. Step 4: Simplify right side
    83,052.54x = 5,413,949,555.40
  5. Step 5: Solve for x
    x = 5,413,949,555.40/83,052.54
  6. Step 6: Final answer
    x = 65,187.04

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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.