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Finding the Fourth Proportional to 65,794.44, 98,732.16 and 30,737.64

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Solution

The fourth proportional to 65,794.44, 98,732.16 and 30,737.64 is: 46,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794.44 : 98,732.16 = 30,737.64 : x
  2. Step 2: Convert to fraction form
    65,794.44/98,732.16 = 30,737.64/x
  3. Step 3: Cross multiply
    65,794.44x = 98,732.16 × 30,737.64
  4. Step 4: Simplify right side
    65,794.44x = 3,034,793,590.50
  5. Step 5: Solve for x
    x = 3,034,793,590.50/65,794.44
  6. Step 6: Final answer
    x = 46,125.38

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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.