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Finding the Fourth Proportional to 73,182.26, 109,794.47 and 35,763.90

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Solution

The fourth proportional to 73,182.26, 109,794.47 and 35,763.90 is: 53,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,182.26 : 109,794.47 = 35,763.90 : x
  2. Step 2: Convert to fraction form
    73,182.26/109,794.47 = 35,763.90/x
  3. Step 3: Cross multiply
    73,182.26x = 109,794.47 × 35,763.90
  4. Step 4: Simplify right side
    73,182.26x = 3,926,678,445.63
  5. Step 5: Solve for x
    x = 3,926,678,445.63/73,182.26
  6. Step 6: Final answer
    x = 53,656.15

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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.