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Finding the Fourth Proportional to 42,378.38, 58,482 and 23,258.48

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Solution

The fourth proportional to 42,378.38, 58,482 and 23,258.48 is: 32,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,378.38 : 58,482 = 23,258.48 : x
  2. Step 2: Convert to fraction form
    42,378.38/58,482 = 23,258.48/x
  3. Step 3: Cross multiply
    42,378.38x = 58,482 × 23,258.48
  4. Step 4: Simplify right side
    42,378.38x = 1,360,202,134.95
  5. Step 5: Solve for x
    x = 1,360,202,134.95/42,378.38
  6. Step 6: Final answer
    x = 32,096.61

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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.