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Finding the Fourth Proportional to 65,118.18, 89,829.36 and 41,203.74

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Solution

The fourth proportional to 65,118.18, 89,829.36 and 41,203.74 is: 56,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118.18 : 89,829.36 = 41,203.74 : x
  2. Step 2: Convert to fraction form
    65,118.18/89,829.36 = 41,203.74/x
  3. Step 3: Cross multiply
    65,118.18x = 89,829.36 × 41,203.74
  4. Step 4: Simplify right side
    65,118.18x = 3,701,305,593.81
  5. Step 5: Solve for x
    x = 3,701,305,593.81/65,118.18
  6. Step 6: Final answer
    x = 56,839.82

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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.