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Finding the Fourth Proportional to 83,154.86, 114,753.68 and 44,914.37

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Solution

The fourth proportional to 83,154.86, 114,753.68 and 44,914.37 is: 61,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154.86 : 114,753.68 = 44,914.37 : x
  2. Step 2: Convert to fraction form
    83,154.86/114,753.68 = 44,914.37/x
  3. Step 3: Cross multiply
    83,154.86x = 114,753.68 × 44,914.37
  4. Step 4: Simplify right side
    83,154.86x = 5,154,088,444.04
  5. Step 5: Solve for x
    x = 5,154,088,444.04/83,154.86
  6. Step 6: Final answer
    x = 61,981.81

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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.