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Finding the Fourth Proportional to 54,851.46, 82,306.95 and 23,279.28

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Solution

The fourth proportional to 54,851.46, 82,306.95 and 23,279.28 is: 34,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,851.46 : 82,306.95 = 23,279.28 : x
  2. Step 2: Convert to fraction form
    54,851.46/82,306.95 = 23,279.28/x
  3. Step 3: Cross multiply
    54,851.46x = 82,306.95 × 23,279.28
  4. Step 4: Simplify right side
    54,851.46x = 1,916,046,535.00
  5. Step 5: Solve for x
    x = 1,916,046,535.00/54,851.46
  6. Step 6: Final answer
    x = 34,931.55

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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.