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Finding the Fourth Proportional to 52,098.44, 78,114.52 and 44,203.64

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Solution

The fourth proportional to 52,098.44, 78,114.52 and 44,203.64 is: 66,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.44 : 78,114.52 = 44,203.64 : x
  2. Step 2: Convert to fraction form
    52,098.44/78,114.52 = 44,203.64/x
  3. Step 3: Cross multiply
    52,098.44x = 78,114.52 × 44,203.64
  4. Step 4: Simplify right side
    52,098.44x = 3,452,946,120.85
  5. Step 5: Solve for x
    x = 3,452,946,120.85/52,098.44
  6. Step 6: Final answer
    x = 66,277.34

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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.