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Finding the Fourth Proportional to 97,241.40, 145,844.10 and 27,106.20

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Solution

The fourth proportional to 97,241.40, 145,844.10 and 27,106.20 is: 40,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,241.40 : 145,844.10 = 27,106.20 : x
  2. Step 2: Convert to fraction form
    97,241.40/145,844.10 = 27,106.20/x
  3. Step 3: Cross multiply
    97,241.40x = 145,844.10 × 27,106.20
  4. Step 4: Simplify right side
    97,241.40x = 3,953,279,343.42
  5. Step 5: Solve for x
    x = 3,953,279,343.42/97,241.40
  6. Step 6: Final answer
    x = 40,654.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.