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Finding the Fourth Proportional to 65,180.75, 89,949.44 and 36,886.51

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Solution

The fourth proportional to 65,180.75, 89,949.44 and 36,886.51 is: 50,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180.75 : 89,949.44 = 36,886.51 : x
  2. Step 2: Convert to fraction form
    65,180.75/89,949.44 = 36,886.51/x
  3. Step 3: Cross multiply
    65,180.75x = 89,949.44 × 36,886.51
  4. Step 4: Simplify right side
    65,180.75x = 3,317,920,283.87
  5. Step 5: Solve for x
    x = 3,317,920,283.87/65,180.75
  6. Step 6: Final answer
    x = 50,903.38

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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.