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Finding the Fourth Proportional to 82,759.48, 124,042 and 38,292.32

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Solution

The fourth proportional to 82,759.48, 124,042 and 38,292.32 is: 57,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,759.48 : 124,042 = 38,292.32 : x
  2. Step 2: Convert to fraction form
    82,759.48/124,042 = 38,292.32/x
  3. Step 3: Cross multiply
    82,759.48x = 124,042 × 38,292.32
  4. Step 4: Simplify right side
    82,759.48x = 4,749,855,957.44
  5. Step 5: Solve for x
    x = 4,749,855,957.44/82,759.48
  6. Step 6: Final answer
    x = 57,393.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.