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Finding the Fourth Proportional to 54,945.78, 75,792.69 and 35,073.78

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Solution

The fourth proportional to 54,945.78, 75,792.69 and 35,073.78 is: 48,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,945.78 : 75,792.69 = 35,073.78 : x
  2. Step 2: Convert to fraction form
    54,945.78/75,792.69 = 35,073.78/x
  3. Step 3: Cross multiply
    54,945.78x = 75,792.69 × 35,073.78
  4. Step 4: Simplify right side
    54,945.78x = 2,658,336,134.67
  5. Step 5: Solve for x
    x = 2,658,336,134.67/54,945.78
  6. Step 6: Final answer
    x = 48,381.08

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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.