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Finding the Fourth Proportional to 97,311.66, 145,902.69 and 34,974.06

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Solution

The fourth proportional to 97,311.66, 145,902.69 and 34,974.06 is: 52,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,311.66 : 145,902.69 = 34,974.06 : x
  2. Step 2: Convert to fraction form
    97,311.66/145,902.69 = 34,974.06/x
  3. Step 3: Cross multiply
    97,311.66x = 145,902.69 × 34,974.06
  4. Step 4: Simplify right side
    97,311.66x = 5,102,809,434.22
  5. Step 5: Solve for x
    x = 5,102,809,434.22/97,311.66
  6. Step 6: Final answer
    x = 52,437.80

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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.