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Finding the Fourth Proportional to 73,205.80, 109,808.70 and 49,877.80

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Solution

The fourth proportional to 73,205.80, 109,808.70 and 49,877.80 is: 74,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.80 : 109,808.70 = 49,877.80 : x
  2. Step 2: Convert to fraction form
    73,205.80/109,808.70 = 49,877.80/x
  3. Step 3: Cross multiply
    73,205.80x = 109,808.70 × 49,877.80
  4. Step 4: Simplify right side
    73,205.80x = 5,477,016,376.86
  5. Step 5: Solve for x
    x = 5,477,016,376.86/73,205.80
  6. Step 6: Final answer
    x = 74,816.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.