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Finding the Fourth Proportional to 65,205.41, 97,832.71 and 23,083.79

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Solution

The fourth proportional to 65,205.41, 97,832.71 and 23,083.79 is: 34,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.41 : 97,832.71 = 23,083.79 : x
  2. Step 2: Convert to fraction form
    65,205.41/97,832.71 = 23,083.79/x
  3. Step 3: Cross multiply
    65,205.41x = 97,832.71 × 23,083.79
  4. Step 4: Simplify right side
    65,205.41x = 2,258,349,272.46
  5. Step 5: Solve for x
    x = 2,258,349,272.46/65,205.41
  6. Step 6: Final answer
    x = 34,634.39

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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.