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Finding the Fourth Proportional to 83,134, 114,724.40 and 45,408.24

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Solution

The fourth proportional to 83,134, 114,724.40 and 45,408.24 is: 62,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134 : 114,724.40 = 45,408.24 : x
  2. Step 2: Convert to fraction form
    83,134/114,724.40 = 45,408.24/x
  3. Step 3: Cross multiply
    83,134x = 114,724.40 × 45,408.24
  4. Step 4: Simplify right side
    83,134x = 5,209,433,089.06
  5. Step 5: Solve for x
    x = 5,209,433,089.06/83,134
  6. Step 6: Final answer
    x = 62,663.09

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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.