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Finding the Fourth Proportional to 83,154.93, 114,753.77 and 44,914.47

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Solution

The fourth proportional to 83,154.93, 114,753.77 and 44,914.47 is: 61,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154.93 : 114,753.77 = 44,914.47 : x
  2. Step 2: Convert to fraction form
    83,154.93/114,753.77 = 44,914.47/x
  3. Step 3: Cross multiply
    83,154.93x = 114,753.77 × 44,914.47
  4. Step 4: Simplify right side
    83,154.93x = 5,154,104,535.48
  5. Step 5: Solve for x
    x = 5,154,104,535.48/83,154.93
  6. Step 6: Final answer
    x = 61,981.95

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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.