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Finding the Fourth Proportional to 65,214.29, 89,993.15 and 36,919.98

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Solution

The fourth proportional to 65,214.29, 89,993.15 and 36,919.98 is: 50,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,214.29 : 89,993.15 = 36,919.98 : x
  2. Step 2: Convert to fraction form
    65,214.29/89,993.15 = 36,919.98/x
  3. Step 3: Cross multiply
    65,214.29x = 89,993.15 × 36,919.98
  4. Step 4: Simplify right side
    65,214.29x = 3,322,545,113.54
  5. Step 5: Solve for x
    x = 3,322,545,113.54/65,214.29
  6. Step 6: Final answer
    x = 50,948.11

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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.