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Finding the Fourth Proportional to 43,741.90, 65,691.89 and 40,225.42

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Solution

The fourth proportional to 43,741.90, 65,691.89 and 40,225.42 is: 60,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,741.90 : 65,691.89 = 40,225.42 : x
  2. Step 2: Convert to fraction form
    43,741.90/65,691.89 = 40,225.42/x
  3. Step 3: Cross multiply
    43,741.90x = 65,691.89 × 40,225.42
  4. Step 4: Simplify right side
    43,741.90x = 2,642,483,802.18
  5. Step 5: Solve for x
    x = 2,642,483,802.18/43,741.90
  6. Step 6: Final answer
    x = 60,410.82

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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.