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Finding the Fourth Proportional to 83,637.84, 115,420.38 and 49,653.14

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Solution

The fourth proportional to 83,637.84, 115,420.38 and 49,653.14 is: 68,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,637.84 : 115,420.38 = 49,653.14 : x
  2. Step 2: Convert to fraction form
    83,637.84/115,420.38 = 49,653.14/x
  3. Step 3: Cross multiply
    83,637.84x = 115,420.38 × 49,653.14
  4. Step 4: Simplify right side
    83,637.84x = 5,730,984,286.99
  5. Step 5: Solve for x
    x = 5,730,984,286.99/83,637.84
  6. Step 6: Final answer
    x = 68,521.43

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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.