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Finding the Fourth Proportional to 38,434.92, 53,031.18 and 23,327.22

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Solution

The fourth proportional to 38,434.92, 53,031.18 and 23,327.22 is: 32,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.92 : 53,031.18 = 23,327.22 : x
  2. Step 2: Convert to fraction form
    38,434.92/53,031.18 = 23,327.22/x
  3. Step 3: Cross multiply
    38,434.92x = 53,031.18 × 23,327.22
  4. Step 4: Simplify right side
    38,434.92x = 1,237,070,002.72
  5. Step 5: Solve for x
    x = 1,237,070,002.72/38,434.92
  6. Step 6: Final answer
    x = 32,186.10

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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.