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Finding the Fourth Proportional to 38,422.50, 53,023.05 and 21,655.50

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Solution

The fourth proportional to 38,422.50, 53,023.05 and 21,655.50 is: 29,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.50 : 53,023.05 = 21,655.50 : x
  2. Step 2: Convert to fraction form
    38,422.50/53,023.05 = 21,655.50/x
  3. Step 3: Cross multiply
    38,422.50x = 53,023.05 × 21,655.50
  4. Step 4: Simplify right side
    38,422.50x = 1,148,240,659.28
  5. Step 5: Solve for x
    x = 1,148,240,659.28/38,422.50
  6. Step 6: Final answer
    x = 29,884.59

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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.