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Finding the Fourth Proportional to 65,349.40, 97,964.82 and 23,767

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Solution

The fourth proportional to 65,349.40, 97,964.82 and 23,767 is: 35,628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349.40 : 97,964.82 = 23,767 : x
  2. Step 2: Convert to fraction form
    65,349.40/97,964.82 = 23,767/x
  3. Step 3: Cross multiply
    65,349.40x = 97,964.82 × 23,767
  4. Step 4: Simplify right side
    65,349.40x = 2,328,329,876.94
  5. Step 5: Solve for x
    x = 2,328,329,876.94/65,349.40
  6. Step 6: Final answer
    x = 35,628.94

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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.