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Finding the Fourth Proportional to 65,355.41, 98,013.49 and 23,229.96

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Solution

The fourth proportional to 65,355.41, 98,013.49 and 23,229.96 is: 34,837.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,355.41 : 98,013.49 = 23,229.96 : x
  2. Step 2: Convert to fraction form
    65,355.41/98,013.49 = 23,229.96/x
  3. Step 3: Cross multiply
    65,355.41x = 98,013.49 × 23,229.96
  4. Step 4: Simplify right side
    65,355.41x = 2,276,849,026.53
  5. Step 5: Solve for x
    x = 2,276,849,026.53/65,355.41
  6. Step 6: Final answer
    x = 34,837.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.