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Finding the Fourth Proportional to 38,498.43, 53,126.25 and 21,502.38

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Solution

The fourth proportional to 38,498.43, 53,126.25 and 21,502.38 is: 29,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.43 : 53,126.25 = 21,502.38 : x
  2. Step 2: Convert to fraction form
    38,498.43/53,126.25 = 21,502.38/x
  3. Step 3: Cross multiply
    38,498.43x = 53,126.25 × 21,502.38
  4. Step 4: Simplify right side
    38,498.43x = 1,142,340,815.48
  5. Step 5: Solve for x
    x = 1,142,340,815.48/38,498.43
  6. Step 6: Final answer
    x = 29,672.40

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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.