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Finding the Fourth Proportional to 38,357.67, 52,920.90 and 22,430.84

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Solution

The fourth proportional to 38,357.67, 52,920.90 and 22,430.84 is: 30,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,357.67 : 52,920.90 = 22,430.84 : x
  2. Step 2: Convert to fraction form
    38,357.67/52,920.90 = 22,430.84/x
  3. Step 3: Cross multiply
    38,357.67x = 52,920.90 × 22,430.84
  4. Step 4: Simplify right side
    38,357.67x = 1,187,060,240.56
  5. Step 5: Solve for x
    x = 1,187,060,240.56/38,357.67
  6. Step 6: Final answer
    x = 30,947.14

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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.