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Finding the Fourth Proportional to 38,695.32, 53,396.82 and 21,698.28

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Solution

The fourth proportional to 38,695.32, 53,396.82 and 21,698.28 is: 29,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,695.32 : 53,396.82 = 21,698.28 : x
  2. Step 2: Convert to fraction form
    38,695.32/53,396.82 = 21,698.28/x
  3. Step 3: Cross multiply
    38,695.32x = 53,396.82 × 21,698.28
  4. Step 4: Simplify right side
    38,695.32x = 1,158,619,151.47
  5. Step 5: Solve for x
    x = 1,158,619,151.47/38,695.32
  6. Step 6: Final answer
    x = 29,942.10

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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.