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Finding the Fourth Proportional to 39,674, 54,750.12 and 22,010

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Solution

The fourth proportional to 39,674, 54,750.12 and 22,010 is: 30,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,674 : 54,750.12 = 22,010 : x
  2. Step 2: Convert to fraction form
    39,674/54,750.12 = 22,010/x
  3. Step 3: Cross multiply
    39,674x = 54,750.12 × 22,010
  4. Step 4: Simplify right side
    39,674x = 1,205,050,141.20
  5. Step 5: Solve for x
    x = 1,205,050,141.20/39,674
  6. Step 6: Final answer
    x = 30,373.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.