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Finding the Fourth Proportional to 38,290.35, 52,842.74 and 22,384.11

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Solution

The fourth proportional to 38,290.35, 52,842.74 and 22,384.11 is: 30,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,290.35 : 52,842.74 = 22,384.11 : x
  2. Step 2: Convert to fraction form
    38,290.35/52,842.74 = 22,384.11/x
  3. Step 3: Cross multiply
    38,290.35x = 52,842.74 × 22,384.11
  4. Step 4: Simplify right side
    38,290.35x = 1,182,837,704.86
  5. Step 5: Solve for x
    x = 1,182,837,704.86/38,290.35
  6. Step 6: Final answer
    x = 30,891.27

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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.