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Finding the Fourth Proportional to 74,323.20, 111,523.20 and 32,774.40

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Solution

The fourth proportional to 74,323.20, 111,523.20 and 32,774.40 is: 49,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,323.20 : 111,523.20 = 32,774.40 : x
  2. Step 2: Convert to fraction form
    74,323.20/111,523.20 = 32,774.40/x
  3. Step 3: Cross multiply
    74,323.20x = 111,523.20 × 32,774.40
  4. Step 4: Simplify right side
    74,323.20x = 3,655,105,966.08
  5. Step 5: Solve for x
    x = 3,655,105,966.08/74,323.20
  6. Step 6: Final answer
    x = 49,178.53

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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.