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Finding the Fourth Proportional to 97,921.50, 146,881.89 and 27,800.82

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Solution

The fourth proportional to 97,921.50, 146,881.89 and 27,800.82 is: 41,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,921.50 : 146,881.89 = 27,800.82 : x
  2. Step 2: Convert to fraction form
    97,921.50/146,881.89 = 27,800.82/x
  3. Step 3: Cross multiply
    97,921.50x = 146,881.89 × 27,800.82
  4. Step 4: Simplify right side
    97,921.50x = 4,083,436,985.15
  5. Step 5: Solve for x
    x = 4,083,436,985.15/97,921.50
  6. Step 6: Final answer
    x = 41,701.13

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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.