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Finding the Fourth Proportional to 65,141.96, 97,726.98 and 20,163.20

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Solution

The fourth proportional to 65,141.96, 97,726.98 and 20,163.20 is: 30,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,141.96 : 97,726.98 = 20,163.20 : x
  2. Step 2: Convert to fraction form
    65,141.96/97,726.98 = 20,163.20/x
  3. Step 3: Cross multiply
    65,141.96x = 97,726.98 × 20,163.20
  4. Step 4: Simplify right side
    65,141.96x = 1,970,488,643.14
  5. Step 5: Solve for x
    x = 1,970,488,643.14/65,141.96
  6. Step 6: Final answer
    x = 30,249.15

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1.5x scale

Why These Related Problems?

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