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Finding the Fourth Proportional to 83,081.40, 124,662.76 and 51,483.01

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Solution

The fourth proportional to 83,081.40, 124,662.76 and 51,483.01 is: 77,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,081.40 : 124,662.76 = 51,483.01 : x
  2. Step 2: Convert to fraction form
    83,081.40/124,662.76 = 51,483.01/x
  3. Step 3: Cross multiply
    83,081.40x = 124,662.76 × 51,483.01
  4. Step 4: Simplify right side
    83,081.40x = 6,418,013,459.56
  5. Step 5: Solve for x
    x = 6,418,013,459.56/83,081.40
  6. Step 6: Final answer
    x = 77,249.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.