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Finding the Fourth Proportional to 65,234.49, 97,848.66 and 23,113.89

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Solution

The fourth proportional to 65,234.49, 97,848.66 and 23,113.89 is: 34,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.49 : 97,848.66 = 23,113.89 : x
  2. Step 2: Convert to fraction form
    65,234.49/97,848.66 = 23,113.89/x
  3. Step 3: Cross multiply
    65,234.49x = 97,848.66 × 23,113.89
  4. Step 4: Simplify right side
    65,234.49x = 2,261,663,163.89
  5. Step 5: Solve for x
    x = 2,261,663,163.89/65,234.49
  6. Step 6: Final answer
    x = 34,669.75

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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.