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Finding the Fourth Proportional to 38,189.68, 52,701.60 and 21,422.68

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Solution

The fourth proportional to 38,189.68, 52,701.60 and 21,422.68 is: 29,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189.68 : 52,701.60 = 21,422.68 : x
  2. Step 2: Convert to fraction form
    38,189.68/52,701.60 = 21,422.68/x
  3. Step 3: Cross multiply
    38,189.68x = 52,701.60 × 21,422.68
  4. Step 4: Simplify right side
    38,189.68x = 1,129,009,512.29
  5. Step 5: Solve for x
    x = 1,129,009,512.29/38,189.68
  6. Step 6: Final answer
    x = 29,563.21

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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.