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Finding the Fourth Proportional to 37,740.89, 52,078.24 and 22,634.18

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Solution

The fourth proportional to 37,740.89, 52,078.24 and 22,634.18 is: 31,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,740.89 : 52,078.24 = 22,634.18 : x
  2. Step 2: Convert to fraction form
    37,740.89/52,078.24 = 22,634.18/x
  3. Step 3: Cross multiply
    37,740.89x = 52,078.24 × 22,634.18
  4. Step 4: Simplify right side
    37,740.89x = 1,178,748,514.38
  5. Step 5: Solve for x
    x = 1,178,748,514.38/37,740.89
  6. Step 6: Final answer
    x = 31,232.67

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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.