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Finding the Fourth Proportional to 74,200.08, 111,313.08 and 32,646

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Solution

The fourth proportional to 74,200.08, 111,313.08 and 32,646 is: 48,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200.08 : 111,313.08 = 32,646 : x
  2. Step 2: Convert to fraction form
    74,200.08/111,313.08 = 32,646/x
  3. Step 3: Cross multiply
    74,200.08x = 111,313.08 × 32,646
  4. Step 4: Simplify right side
    74,200.08x = 3,633,926,809.68
  5. Step 5: Solve for x
    x = 3,633,926,809.68/74,200.08
  6. Step 6: Final answer
    x = 48,974.70

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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.