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Finding the Fourth Proportional to 38,514, 57,762.70 and 22,492.84

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Solution

The fourth proportional to 38,514, 57,762.70 and 22,492.84 is: 33,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514 : 57,762.70 = 22,492.84 : x
  2. Step 2: Convert to fraction form
    38,514/57,762.70 = 22,492.84/x
  3. Step 3: Cross multiply
    38,514x = 57,762.70 × 22,492.84
  4. Step 4: Simplify right side
    38,514x = 1,299,247,169.07
  5. Step 5: Solve for x
    x = 1,299,247,169.07/38,514
  6. Step 6: Final answer
    x = 33,734.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.