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Finding the Fourth Proportional to 53,131.38, 73,321.30 and 29,258

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Solution

The fourth proportional to 53,131.38, 73,321.30 and 29,258 is: 40,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,131.38 : 73,321.30 = 29,258 : x
  2. Step 2: Convert to fraction form
    53,131.38/73,321.30 = 29,258/x
  3. Step 3: Cross multiply
    53,131.38x = 73,321.30 × 29,258
  4. Step 4: Simplify right side
    53,131.38x = 2,145,234,595.40
  5. Step 5: Solve for x
    x = 2,145,234,595.40/53,131.38
  6. Step 6: Final answer
    x = 40,376.04

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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.