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Finding the Fourth Proportional to 72,437.40, 108,704.70 and 32,974.20

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Solution

The fourth proportional to 72,437.40, 108,704.70 and 32,974.20 is: 49,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,437.40 : 108,704.70 = 32,974.20 : x
  2. Step 2: Convert to fraction form
    72,437.40/108,704.70 = 32,974.20/x
  3. Step 3: Cross multiply
    72,437.40x = 108,704.70 × 32,974.20
  4. Step 4: Simplify right side
    72,437.40x = 3,584,450,518.74
  5. Step 5: Solve for x
    x = 3,584,450,518.74/72,437.40
  6. Step 6: Final answer
    x = 49,483.42

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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.