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Finding the Fourth Proportional to 46,102, 63,616.98 and 25,952.44

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Solution

The fourth proportional to 46,102, 63,616.98 and 25,952.44 is: 35,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,102 : 63,616.98 = 25,952.44 : x
  2. Step 2: Convert to fraction form
    46,102/63,616.98 = 25,952.44/x
  3. Step 3: Cross multiply
    46,102x = 63,616.98 × 25,952.44
  4. Step 4: Simplify right side
    46,102x = 1,651,015,856.43
  5. Step 5: Solve for x
    x = 1,651,015,856.43/46,102
  6. Step 6: Final answer
    x = 35,812.24

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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.