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Finding the Fourth Proportional to 82,758.74, 124,040.88 and 38,291.54

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Solution

The fourth proportional to 82,758.74, 124,040.88 and 38,291.54 is: 57,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,758.74 : 124,040.88 = 38,291.54 : x
  2. Step 2: Convert to fraction form
    82,758.74/124,040.88 = 38,291.54/x
  3. Step 3: Cross multiply
    82,758.74x = 124,040.88 × 38,291.54
  4. Step 4: Simplify right side
    82,758.74x = 4,749,716,318.16
  5. Step 5: Solve for x
    x = 4,749,716,318.16/82,758.74
  6. Step 6: Final answer
    x = 57,392.32

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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.