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Finding the Fourth Proportional to 65,525, 90,424.56 and 35,717

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Solution

The fourth proportional to 65,525, 90,424.56 and 35,717 is: 49,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,525 : 90,424.56 = 35,717 : x
  2. Step 2: Convert to fraction form
    65,525/90,424.56 = 35,717/x
  3. Step 3: Cross multiply
    65,525x = 90,424.56 × 35,717
  4. Step 4: Simplify right side
    65,525x = 3,229,694,009.52
  5. Step 5: Solve for x
    x = 3,229,694,009.52/65,525
  6. Step 6: Final answer
    x = 49,289.49

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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.