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Finding the Fourth Proportional to 65,943.48, 91,002.06 and 36,135.48

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Solution

The fourth proportional to 65,943.48, 91,002.06 and 36,135.48 is: 49,866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,943.48 : 91,002.06 = 36,135.48 : x
  2. Step 2: Convert to fraction form
    65,943.48/91,002.06 = 36,135.48/x
  3. Step 3: Cross multiply
    65,943.48x = 91,002.06 × 36,135.48
  4. Step 4: Simplify right side
    65,943.48x = 3,288,403,119.09
  5. Step 5: Solve for x
    x = 3,288,403,119.09/65,943.48
  6. Step 6: Final answer
    x = 49,866.99

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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.