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Finding the Fourth Proportional to 65,802, 90,807.48 and 35,994

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Solution

The fourth proportional to 65,802, 90,807.48 and 35,994 is: 49,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802 : 90,807.48 = 35,994 : x
  2. Step 2: Convert to fraction form
    65,802/90,807.48 = 35,994/x
  3. Step 3: Cross multiply
    65,802x = 90,807.48 × 35,994
  4. Step 4: Simplify right side
    65,802x = 3,268,524,435.12
  5. Step 5: Solve for x
    x = 3,268,524,435.12/65,802
  6. Step 6: Final answer
    x = 49,672.11

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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.