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Finding the Fourth Proportional to 91,877.80, 137,816.70 and 32,780.20

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Solution

The fourth proportional to 91,877.80, 137,816.70 and 32,780.20 is: 49,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,877.80 : 137,816.70 = 32,780.20 : x
  2. Step 2: Convert to fraction form
    91,877.80/137,816.70 = 32,780.20/x
  3. Step 3: Cross multiply
    91,877.80x = 137,816.70 × 32,780.20
  4. Step 4: Simplify right side
    91,877.80x = 4,517,658,989.34
  5. Step 5: Solve for x
    x = 4,517,658,989.34/91,877.80
  6. Step 6: Final answer
    x = 49,170.30

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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.