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Finding the Fourth Proportional to 71,719, 98,972.22 and 41,911

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Solution

The fourth proportional to 71,719, 98,972.22 and 41,911 is: 57,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,719 : 98,972.22 = 41,911 : x
  2. Step 2: Convert to fraction form
    71,719/98,972.22 = 41,911/x
  3. Step 3: Cross multiply
    71,719x = 98,972.22 × 41,911
  4. Step 4: Simplify right side
    71,719x = 4,148,024,712.42
  5. Step 5: Solve for x
    x = 4,148,024,712.42/71,719
  6. Step 6: Final answer
    x = 57,837.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.