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Finding the Fourth Proportional to 38,422.90, 53,023.84 and 21,428.22

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Solution

The fourth proportional to 38,422.90, 53,023.84 and 21,428.22 is: 29,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.90 : 53,023.84 = 21,428.22 : x
  2. Step 2: Convert to fraction form
    38,422.90/53,023.84 = 21,428.22/x
  3. Step 3: Cross multiply
    38,422.90x = 53,023.84 × 21,428.22
  4. Step 4: Simplify right side
    38,422.90x = 1,136,206,508.76
  5. Step 5: Solve for x
    x = 1,136,206,508.76/38,422.90
  6. Step 6: Final answer
    x = 29,571.08

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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.