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Finding the Fourth Proportional to 65,810, 98,725.26 and 21,426.28

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Solution

The fourth proportional to 65,810, 98,725.26 and 21,426.28 is: 32,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,810 : 98,725.26 = 21,426.28 : x
  2. Step 2: Convert to fraction form
    65,810/98,725.26 = 21,426.28/x
  3. Step 3: Cross multiply
    65,810x = 98,725.26 × 21,426.28
  4. Step 4: Simplify right side
    65,810x = 2,115,315,063.83
  5. Step 5: Solve for x
    x = 2,115,315,063.83/65,810
  6. Step 6: Final answer
    x = 32,142.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.