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Finding the Fourth Proportional to 37,442, 51,675.72 and 22,546.64

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Solution

The fourth proportional to 37,442, 51,675.72 and 22,546.64 is: 31,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,442 : 51,675.72 = 22,546.64 : x
  2. Step 2: Convert to fraction form
    37,442/51,675.72 = 22,546.64/x
  3. Step 3: Cross multiply
    37,442x = 51,675.72 × 22,546.64
  4. Step 4: Simplify right side
    37,442x = 1,165,113,855.58
  5. Step 5: Solve for x
    x = 1,165,113,855.58/37,442
  6. Step 6: Final answer
    x = 31,117.83

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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.