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Finding the Fourth Proportional to 97,238.50, 145,882.37 and 27,117.82

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Solution

The fourth proportional to 97,238.50, 145,882.37 and 27,117.82 is: 40,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,238.50 : 145,882.37 = 27,117.82 : x
  2. Step 2: Convert to fraction form
    97,238.50/145,882.37 = 27,117.82/x
  3. Step 3: Cross multiply
    97,238.50x = 145,882.37 × 27,117.82
  4. Step 4: Simplify right side
    97,238.50x = 3,956,011,850.83
  5. Step 5: Solve for x
    x = 3,956,011,850.83/97,238.50
  6. Step 6: Final answer
    x = 40,683.60

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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.