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Finding the Fourth Proportional to 38,513.34, 53,126.22 and 23,189.22

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Solution

The fourth proportional to 38,513.34, 53,126.22 and 23,189.22 is: 31,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.34 : 53,126.22 = 23,189.22 : x
  2. Step 2: Convert to fraction form
    38,513.34/53,126.22 = 23,189.22/x
  3. Step 3: Cross multiply
    38,513.34x = 53,126.22 × 23,189.22
  4. Step 4: Simplify right side
    38,513.34x = 1,231,955,603.35
  5. Step 5: Solve for x
    x = 1,231,955,603.35/38,513.34
  6. Step 6: Final answer
    x = 31,987.76

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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.