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Finding the Fourth Proportional to 83,648.44, 115,434.38 and 45,408.76

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Solution

The fourth proportional to 83,648.44, 115,434.38 and 45,408.76 is: 62,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,648.44 : 115,434.38 = 45,408.76 : x
  2. Step 2: Convert to fraction form
    83,648.44/115,434.38 = 45,408.76/x
  3. Step 3: Cross multiply
    83,648.44x = 115,434.38 × 45,408.76
  4. Step 4: Simplify right side
    83,648.44x = 5,241,732,057.17
  5. Step 5: Solve for x
    x = 5,241,732,057.17/83,648.44
  6. Step 6: Final answer
    x = 62,663.84

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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.