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Finding the Fourth Proportional to 97,223.66, 145,836.10 and 27,103.58

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Solution

The fourth proportional to 97,223.66, 145,836.10 and 27,103.58 is: 40,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,223.66 : 145,836.10 = 27,103.58 : x
  2. Step 2: Convert to fraction form
    97,223.66/145,836.10 = 27,103.58/x
  3. Step 3: Cross multiply
    97,223.66x = 145,836.10 × 27,103.58
  4. Step 4: Simplify right side
    97,223.66x = 3,952,680,403.24
  5. Step 5: Solve for x
    x = 3,952,680,403.24/97,223.66
  6. Step 6: Final answer
    x = 40,655.54

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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.