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Finding the Fourth Proportional to 64,809.66, 97,214.49 and 23,233.98

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Solution

The fourth proportional to 64,809.66, 97,214.49 and 23,233.98 is: 34,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809.66 : 97,214.49 = 23,233.98 : x
  2. Step 2: Convert to fraction form
    64,809.66/97,214.49 = 23,233.98/x
  3. Step 3: Cross multiply
    64,809.66x = 97,214.49 × 23,233.98
  4. Step 4: Simplify right side
    64,809.66x = 2,258,679,516.37
  5. Step 5: Solve for x
    x = 2,258,679,516.37/64,809.66
  6. Step 6: Final answer
    x = 34,850.97

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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.