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Finding the Fourth Proportional to 65,857.71, 90,883.85 and 35,643.03

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Solution

The fourth proportional to 65,857.71, 90,883.85 and 35,643.03 is: 49,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,857.71 : 90,883.85 = 35,643.03 : x
  2. Step 2: Convert to fraction form
    65,857.71/90,883.85 = 35,643.03/x
  3. Step 3: Cross multiply
    65,857.71x = 90,883.85 × 35,643.03
  4. Step 4: Simplify right side
    65,857.71x = 3,239,375,792.07
  5. Step 5: Solve for x
    x = 3,239,375,792.07/65,857.71
  6. Step 6: Final answer
    x = 49,187.50

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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.