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Finding the Fourth Proportional to 65,484.14, 90,378.98 and 38,633.24

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Solution

The fourth proportional to 65,484.14, 90,378.98 and 38,633.24 is: 53,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,484.14 : 90,378.98 = 38,633.24 : x
  2. Step 2: Convert to fraction form
    65,484.14/90,378.98 = 38,633.24/x
  3. Step 3: Cross multiply
    65,484.14x = 90,378.98 × 38,633.24
  4. Step 4: Simplify right side
    65,484.14x = 3,491,632,180.23
  5. Step 5: Solve for x
    x = 3,491,632,180.23/65,484.14
  6. Step 6: Final answer
    x = 53,320.28

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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.