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Finding the Fourth Proportional to 38,742.44, 53,462.18 and 21,749

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Solution

The fourth proportional to 38,742.44, 53,462.18 and 21,749 is: 30,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742.44 : 53,462.18 = 21,749 : x
  2. Step 2: Convert to fraction form
    38,742.44/53,462.18 = 21,749/x
  3. Step 3: Cross multiply
    38,742.44x = 53,462.18 × 21,749
  4. Step 4: Simplify right side
    38,742.44x = 1,162,748,952.82
  5. Step 5: Solve for x
    x = 1,162,748,952.82/38,742.44
  6. Step 6: Final answer
    x = 30,012.28

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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.