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Finding the Fourth Proportional to 22,854.14, 34,031.48 and 22,013.37

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Solution

The fourth proportional to 22,854.14, 34,031.48 and 22,013.37 is: 32,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.14 : 34,031.48 = 22,013.37 : x
  2. Step 2: Convert to fraction form
    22,854.14/34,031.48 = 22,013.37/x
  3. Step 3: Cross multiply
    22,854.14x = 34,031.48 × 22,013.37
  4. Step 4: Simplify right side
    22,854.14x = 749,147,450.82
  5. Step 5: Solve for x
    x = 749,147,450.82/22,854.14
  6. Step 6: Final answer
    x = 32,779.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.