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Finding the Fourth Proportional to 38,488.32, 53,118.24 and 21,720

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Solution

The fourth proportional to 38,488.32, 53,118.24 and 21,720 is: 29,976.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,488.32 : 53,118.24 = 21,720 : x
  2. Step 2: Convert to fraction form
    38,488.32/53,118.24 = 21,720/x
  3. Step 3: Cross multiply
    38,488.32x = 53,118.24 × 21,720
  4. Step 4: Simplify right side
    38,488.32x = 1,153,728,172.80
  5. Step 5: Solve for x
    x = 1,153,728,172.80/38,488.32
  6. Step 6: Final answer
    x = 29,976.06

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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.