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Finding the Fourth Proportional to 65,102.78, 89,850.13 and 36,424.06

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Solution

The fourth proportional to 65,102.78, 89,850.13 and 36,424.06 is: 50,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.78 : 89,850.13 = 36,424.06 : x
  2. Step 2: Convert to fraction form
    65,102.78/89,850.13 = 36,424.06/x
  3. Step 3: Cross multiply
    65,102.78x = 89,850.13 × 36,424.06
  4. Step 4: Simplify right side
    65,102.78x = 3,272,706,210.44
  5. Step 5: Solve for x
    x = 3,272,706,210.44/65,102.78
  6. Step 6: Final answer
    x = 50,269.84

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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.