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Finding the Fourth Proportional to 65,924.64, 90,976.10 and 35,710.29

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Solution

The fourth proportional to 65,924.64, 90,976.10 and 35,710.29 is: 49,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,924.64 : 90,976.10 = 35,710.29 : x
  2. Step 2: Convert to fraction form
    65,924.64/90,976.10 = 35,710.29/x
  3. Step 3: Cross multiply
    65,924.64x = 90,976.10 × 35,710.29
  4. Step 4: Simplify right side
    65,924.64x = 3,248,782,735.52
  5. Step 5: Solve for x
    x = 3,248,782,735.52/65,924.64
  6. Step 6: Final answer
    x = 49,280.25

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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.