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Finding the Fourth Proportional to 77,348.56, 106,541.36 and 54,648.15

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Solution

The fourth proportional to 77,348.56, 106,541.36 and 54,648.15 is: 75,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,348.56 : 106,541.36 = 54,648.15 : x
  2. Step 2: Convert to fraction form
    77,348.56/106,541.36 = 54,648.15/x
  3. Step 3: Cross multiply
    77,348.56x = 106,541.36 × 54,648.15
  4. Step 4: Simplify right side
    77,348.56x = 5,822,287,689.78
  5. Step 5: Solve for x
    x = 5,822,287,689.78/77,348.56
  6. Step 6: Final answer
    x = 75,273.38

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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.