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Finding the Fourth Proportional to 97,241, 145,886.12 and 27,120.31

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Solution

The fourth proportional to 97,241, 145,886.12 and 27,120.31 is: 40,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,241 : 145,886.12 = 27,120.31 : x
  2. Step 2: Convert to fraction form
    97,241/145,886.12 = 27,120.31/x
  3. Step 3: Cross multiply
    97,241x = 145,886.12 × 27,120.31
  4. Step 4: Simplify right side
    97,241x = 3,956,477,028.21
  5. Step 5: Solve for x
    x = 3,956,477,028.21/97,241
  6. Step 6: Final answer
    x = 40,687.33

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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.