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Finding the Fourth Proportional to 97,881.08, 146,843.50 and 31,325.20

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Solution

The fourth proportional to 97,881.08, 146,843.50 and 31,325.20 is: 46,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,881.08 : 146,843.50 = 31,325.20 : x
  2. Step 2: Convert to fraction form
    97,881.08/146,843.50 = 31,325.20/x
  3. Step 3: Cross multiply
    97,881.08x = 146,843.50 × 31,325.20
  4. Step 4: Simplify right side
    97,881.08x = 4,599,902,006.20
  5. Step 5: Solve for x
    x = 4,599,902,006.20/97,881.08
  6. Step 6: Final answer
    x = 46,994.80

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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.