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Finding the Fourth Proportional to 97,566, 146,371.16 and 41,408.16

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Solution

The fourth proportional to 97,566, 146,371.16 and 41,408.16 is: 62,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,566 : 146,371.16 = 41,408.16 : x
  2. Step 2: Convert to fraction form
    97,566/146,371.16 = 41,408.16/x
  3. Step 3: Cross multiply
    97,566x = 146,371.16 × 41,408.16
  4. Step 4: Simplify right side
    97,566x = 6,060,960,412.67
  5. Step 5: Solve for x
    x = 6,060,960,412.67/97,566
  6. Step 6: Final answer
    x = 62,121.64

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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.