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Finding the Fourth Proportional to 83,094.48, 114,694.92 and 57,952.08

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Solution

The fourth proportional to 83,094.48, 114,694.92 and 57,952.08 is: 79,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,094.48 : 114,694.92 = 57,952.08 : x
  2. Step 2: Convert to fraction form
    83,094.48/114,694.92 = 57,952.08/x
  3. Step 3: Cross multiply
    83,094.48x = 114,694.92 × 57,952.08
  4. Step 4: Simplify right side
    83,094.48x = 6,646,809,179.43
  5. Step 5: Solve for x
    x = 6,646,809,179.43/83,094.48
  6. Step 6: Final answer
    x = 79,990.98

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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.