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Finding the Fourth Proportional to 38,221.76, 52,771.74 and 29,253.26

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Solution

The fourth proportional to 38,221.76, 52,771.74 and 29,253.26 is: 40,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,221.76 : 52,771.74 = 29,253.26 : x
  2. Step 2: Convert to fraction form
    38,221.76/52,771.74 = 29,253.26/x
  3. Step 3: Cross multiply
    38,221.76x = 52,771.74 × 29,253.26
  4. Step 4: Simplify right side
    38,221.76x = 1,543,745,430.87
  5. Step 5: Solve for x
    x = 1,543,745,430.87/38,221.76
  6. Step 6: Final answer
    x = 40,389.18

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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.