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Finding the Fourth Proportional to 83,065.50, 114,590.48 and 54,372.51

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Solution

The fourth proportional to 83,065.50, 114,590.48 and 54,372.51 is: 75,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.50 : 114,590.48 = 54,372.51 : x
  2. Step 2: Convert to fraction form
    83,065.50/114,590.48 = 54,372.51/x
  3. Step 3: Cross multiply
    83,065.50x = 114,590.48 × 54,372.51
  4. Step 4: Simplify right side
    83,065.50x = 6,230,571,747.84
  5. Step 5: Solve for x
    x = 6,230,571,747.84/83,065.50
  6. Step 6: Final answer
    x = 75,007.94

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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.