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Finding the Fourth Proportional to 65,878.77, 90,912.29 and 35,663.87

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Solution

The fourth proportional to 65,878.77, 90,912.29 and 35,663.87 is: 49,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.77 : 90,912.29 = 35,663.87 : x
  2. Step 2: Convert to fraction form
    65,878.77/90,912.29 = 35,663.87/x
  3. Step 3: Cross multiply
    65,878.77x = 90,912.29 × 35,663.87
  4. Step 4: Simplify right side
    65,878.77x = 3,242,284,241.23
  5. Step 5: Solve for x
    x = 3,242,284,241.23/65,878.77
  6. Step 6: Final answer
    x = 49,215.92

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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.