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Finding the Fourth Proportional to 65,232.10, 97,876 and 27,809.79

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Solution

The fourth proportional to 65,232.10, 97,876 and 27,809.79 is: 41,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,232.10 : 97,876 = 27,809.79 : x
  2. Step 2: Convert to fraction form
    65,232.10/97,876 = 27,809.79/x
  3. Step 3: Cross multiply
    65,232.10x = 97,876 × 27,809.79
  4. Step 4: Simplify right side
    65,232.10x = 2,721,911,006.04
  5. Step 5: Solve for x
    x = 2,721,911,006.04/65,232.10
  6. Step 6: Final answer
    x = 41,726.56

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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.