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Finding the Fourth Proportional to 74,524, 111,801.12 and 32,971

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Solution

The fourth proportional to 74,524, 111,801.12 and 32,971 is: 49,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,524 : 111,801.12 = 32,971 : x
  2. Step 2: Convert to fraction form
    74,524/111,801.12 = 32,971/x
  3. Step 3: Cross multiply
    74,524x = 111,801.12 × 32,971
  4. Step 4: Simplify right side
    74,524x = 3,686,194,727.52
  5. Step 5: Solve for x
    x = 3,686,194,727.52/74,524
  6. Step 6: Final answer
    x = 49,463.19

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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.