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Finding the Fourth Proportional to 38,321.46, 57,842.13 and 38,321.46

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Solution

The fourth proportional to 38,321.46, 57,842.13 and 38,321.46 is: 57,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,321.46 : 57,842.13 = 38,321.46 : x
  2. Step 2: Convert to fraction form
    38,321.46/57,842.13 = 38,321.46/x
  3. Step 3: Cross multiply
    38,321.46x = 57,842.13 × 38,321.46
  4. Step 4: Simplify right side
    38,321.46x = 2,216,594,871.11
  5. Step 5: Solve for x
    x = 2,216,594,871.11/38,321.46
  6. Step 6: Final answer
    x = 57,842.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.