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Finding the Fourth Proportional to 83,248.77, 114,880.97 and 45,522.21

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Solution

The fourth proportional to 83,248.77, 114,880.97 and 45,522.21 is: 62,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,248.77 : 114,880.97 = 45,522.21 : x
  2. Step 2: Convert to fraction form
    83,248.77/114,880.97 = 45,522.21/x
  3. Step 3: Cross multiply
    83,248.77x = 114,880.97 × 45,522.21
  4. Step 4: Simplify right side
    83,248.77x = 5,229,635,798.83
  5. Step 5: Solve for x
    x = 5,229,635,798.83/83,248.77
  6. Step 6: Final answer
    x = 62,819.38

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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.