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Finding the Fourth Proportional to 91,967.80, 137,951.70 and 32,870.20

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Solution

The fourth proportional to 91,967.80, 137,951.70 and 32,870.20 is: 49,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,967.80 : 137,951.70 = 32,870.20 : x
  2. Step 2: Convert to fraction form
    91,967.80/137,951.70 = 32,870.20/x
  3. Step 3: Cross multiply
    91,967.80x = 137,951.70 × 32,870.20
  4. Step 4: Simplify right side
    91,967.80x = 4,534,499,969.34
  5. Step 5: Solve for x
    x = 4,534,499,969.34/91,967.80
  6. Step 6: Final answer
    x = 49,305.30

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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.