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Finding the Fourth Proportional to 38,092.69, 52,570.89 and 21,965.18

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Solution

The fourth proportional to 38,092.69, 52,570.89 and 21,965.18 is: 30,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,092.69 : 52,570.89 = 21,965.18 : x
  2. Step 2: Convert to fraction form
    38,092.69/52,570.89 = 21,965.18/x
  3. Step 3: Cross multiply
    38,092.69x = 52,570.89 × 21,965.18
  4. Step 4: Simplify right side
    38,092.69x = 1,154,729,061.61
  5. Step 5: Solve for x
    x = 1,154,729,061.61/38,092.69
  6. Step 6: Final answer
    x = 30,313.67

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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.