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Finding the Fourth Proportional to 38,422.40, 53,023.15 and 21,427.72

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Solution

The fourth proportional to 38,422.40, 53,023.15 and 21,427.72 is: 29,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.40 : 53,023.15 = 21,427.72 : x
  2. Step 2: Convert to fraction form
    38,422.40/53,023.15 = 21,427.72/x
  3. Step 3: Cross multiply
    38,422.40x = 53,023.15 × 21,427.72
  4. Step 4: Simplify right side
    38,422.40x = 1,136,165,211.72
  5. Step 5: Solve for x
    x = 1,136,165,211.72/38,422.40
  6. Step 6: Final answer
    x = 29,570.39

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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.