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Finding the Fourth Proportional to 97,515.60, 146,278.41 and 27,400.38

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Solution

The fourth proportional to 97,515.60, 146,278.41 and 27,400.38 is: 41,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,515.60 : 146,278.41 = 27,400.38 : x
  2. Step 2: Convert to fraction form
    97,515.60/146,278.41 = 27,400.38/x
  3. Step 3: Cross multiply
    97,515.60x = 146,278.41 × 27,400.38
  4. Step 4: Simplify right side
    97,515.60x = 4,008,083,368.50
  5. Step 5: Solve for x
    x = 4,008,083,368.50/97,515.60
  6. Step 6: Final answer
    x = 41,101.97

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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.