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Finding the Fourth Proportional to 83,098.82, 114,676.28 and 45,373.08

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Solution

The fourth proportional to 83,098.82, 114,676.28 and 45,373.08 is: 62,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,098.82 : 114,676.28 = 45,373.08 : x
  2. Step 2: Convert to fraction form
    83,098.82/114,676.28 = 45,373.08/x
  3. Step 3: Cross multiply
    83,098.82x = 114,676.28 × 45,373.08
  4. Step 4: Simplify right side
    83,098.82x = 5,203,216,026.54
  5. Step 5: Solve for x
    x = 5,203,216,026.54/83,098.82
  6. Step 6: Final answer
    x = 62,614.80

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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.