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Finding the Fourth Proportional to 84,540.68, 116,661.92 and 48,728.52

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Solution

The fourth proportional to 84,540.68, 116,661.92 and 48,728.52 is: 67,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,540.68 : 116,661.92 = 48,728.52 : x
  2. Step 2: Convert to fraction form
    84,540.68/116,661.92 = 48,728.52/x
  3. Step 3: Cross multiply
    84,540.68x = 116,661.92 × 48,728.52
  4. Step 4: Simplify right side
    84,540.68x = 5,684,762,701.96
  5. Step 5: Solve for x
    x = 5,684,762,701.96/84,540.68
  6. Step 6: Final answer
    x = 67,242.93

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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.