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Finding the Fourth Proportional to 83,057.72, 114,579.80 and 54,364.74

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Solution

The fourth proportional to 83,057.72, 114,579.80 and 54,364.74 is: 74,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,057.72 : 114,579.80 = 54,364.74 : x
  2. Step 2: Convert to fraction form
    83,057.72/114,579.80 = 54,364.74/x
  3. Step 3: Cross multiply
    83,057.72x = 114,579.80 × 54,364.74
  4. Step 4: Simplify right side
    83,057.72x = 6,229,101,036.25
  5. Step 5: Solve for x
    x = 6,229,101,036.25/83,057.72
  6. Step 6: Final answer
    x = 74,997.26

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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.