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Finding the Fourth Proportional to 83,065.99, 124,583.40 and 22,277.11

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Solution

The fourth proportional to 83,065.99, 124,583.40 and 22,277.11 is: 33,411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.99 : 124,583.40 = 22,277.11 : x
  2. Step 2: Convert to fraction form
    83,065.99/124,583.40 = 22,277.11/x
  3. Step 3: Cross multiply
    83,065.99x = 124,583.40 × 22,277.11
  4. Step 4: Simplify right side
    83,065.99x = 2,775,358,105.97
  5. Step 5: Solve for x
    x = 2,775,358,105.97/83,065.99
  6. Step 6: Final answer
    x = 33,411.49

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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.