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Finding the Fourth Proportional to 65,462.97, 90,342.77 and 49,301.77

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Solution

The fourth proportional to 65,462.97, 90,342.77 and 49,301.77 is: 68,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,462.97 : 90,342.77 = 49,301.77 : x
  2. Step 2: Convert to fraction form
    65,462.97/90,342.77 = 49,301.77/x
  3. Step 3: Cross multiply
    65,462.97x = 90,342.77 × 49,301.77
  4. Step 4: Simplify right side
    65,462.97x = 4,454,058,595.96
  5. Step 5: Solve for x
    x = 4,454,058,595.96/65,462.97
  6. Step 6: Final answer
    x = 68,039.36

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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.