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Finding the Fourth Proportional to 97,381.61, 145,984.25 and 38,201.39

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Solution

The fourth proportional to 97,381.61, 145,984.25 and 38,201.39 is: 57,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,381.61 : 145,984.25 = 38,201.39 : x
  2. Step 2: Convert to fraction form
    97,381.61/145,984.25 = 38,201.39/x
  3. Step 3: Cross multiply
    97,381.61x = 145,984.25 × 38,201.39
  4. Step 4: Simplify right side
    97,381.61x = 5,576,800,712.14
  5. Step 5: Solve for x
    x = 5,576,800,712.14/97,381.61
  6. Step 6: Final answer
    x = 57,267.49

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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.