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Finding the Fourth Proportional to 73,782.45, 110,098.22 and 65,830.30

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Solution

The fourth proportional to 73,782.45, 110,098.22 and 65,830.30 is: 98,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.45 : 110,098.22 = 65,830.30 : x
  2. Step 2: Convert to fraction form
    73,782.45/110,098.22 = 65,830.30/x
  3. Step 3: Cross multiply
    73,782.45x = 110,098.22 × 65,830.30
  4. Step 4: Simplify right side
    73,782.45x = 7,247,798,540.55
  5. Step 5: Solve for x
    x = 7,247,798,540.55/73,782.45
  6. Step 6: Final answer
    x = 98,232.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.