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Finding the Fourth Proportional to 82,762.56, 124,046.55 and 38,295.36

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Solution

The fourth proportional to 82,762.56, 124,046.55 and 38,295.36 is: 57,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.56 : 124,046.55 = 38,295.36 : x
  2. Step 2: Convert to fraction form
    82,762.56/124,046.55 = 38,295.36/x
  3. Step 3: Cross multiply
    82,762.56x = 124,046.55 × 38,295.36
  4. Step 4: Simplify right side
    82,762.56x = 4,750,407,289.01
  5. Step 5: Solve for x
    x = 4,750,407,289.01/82,762.56
  6. Step 6: Final answer
    x = 57,398.02

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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.