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Finding the Fourth Proportional to 65,883.29, 90,918.29 and 35,667.83

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Solution

The fourth proportional to 65,883.29, 90,918.29 and 35,667.83 is: 49,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.29 : 90,918.29 = 35,667.83 : x
  2. Step 2: Convert to fraction form
    65,883.29/90,918.29 = 35,667.83/x
  3. Step 3: Cross multiply
    65,883.29x = 90,918.29 × 35,667.83
  4. Step 4: Simplify right side
    65,883.29x = 3,242,857,478.68
  5. Step 5: Solve for x
    x = 3,242,857,478.68/65,883.29
  6. Step 6: Final answer
    x = 49,221.25

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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.