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Finding the Fourth Proportional to 65,473.75, 90,354.74 and 35,665.75

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Solution

The fourth proportional to 65,473.75, 90,354.74 and 35,665.75 is: 49,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473.75 : 90,354.74 = 35,665.75 : x
  2. Step 2: Convert to fraction form
    65,473.75/90,354.74 = 35,665.75/x
  3. Step 3: Cross multiply
    65,473.75x = 90,354.74 × 35,665.75
  4. Step 4: Simplify right side
    65,473.75x = 3,222,569,568.16
  5. Step 5: Solve for x
    x = 3,222,569,568.16/65,473.75
  6. Step 6: Final answer
    x = 49,219.26

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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.