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Finding the Fourth Proportional to 38,422.50, 53,023.21 and 21,426.69

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Solution

The fourth proportional to 38,422.50, 53,023.21 and 21,426.69 is: 29,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.50 : 53,023.21 = 21,426.69 : x
  2. Step 2: Convert to fraction form
    38,422.50/53,023.21 = 21,426.69/x
  3. Step 3: Cross multiply
    38,422.50x = 53,023.21 × 21,426.69
  4. Step 4: Simplify right side
    38,422.50x = 1,136,111,883.47
  5. Step 5: Solve for x
    x = 1,136,111,883.47/38,422.50
  6. Step 6: Final answer
    x = 29,568.92

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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.