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Finding the Fourth Proportional to 38,605.32, 53,275.23 and 22,698.90

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Solution

The fourth proportional to 38,605.32, 53,275.23 and 22,698.90 is: 31,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,605.32 : 53,275.23 = 22,698.90 : x
  2. Step 2: Convert to fraction form
    38,605.32/53,275.23 = 22,698.90/x
  3. Step 3: Cross multiply
    38,605.32x = 53,275.23 × 22,698.90
  4. Step 4: Simplify right side
    38,605.32x = 1,209,289,118.25
  5. Step 5: Solve for x
    x = 1,209,289,118.25/38,605.32
  6. Step 6: Final answer
    x = 31,324.42

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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.