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Finding the Fourth Proportional to 83,767.20, 115,599.62 and 45,526.74

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Solution

The fourth proportional to 83,767.20, 115,599.62 and 45,526.74 is: 62,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,767.20 : 115,599.62 = 45,526.74 : x
  2. Step 2: Convert to fraction form
    83,767.20/115,599.62 = 45,526.74/x
  3. Step 3: Cross multiply
    83,767.20x = 115,599.62 × 45,526.74
  4. Step 4: Simplify right side
    83,767.20x = 5,262,873,616.21
  5. Step 5: Solve for x
    x = 5,262,873,616.21/83,767.20
  6. Step 6: Final answer
    x = 62,827.38

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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.