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Finding the Fourth Proportional to 97,694.40, 146,538.86 and 31,138.52

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Solution

The fourth proportional to 97,694.40, 146,538.86 and 31,138.52 is: 46,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694.40 : 146,538.86 = 31,138.52 : x
  2. Step 2: Convert to fraction form
    97,694.40/146,538.86 = 31,138.52/x
  3. Step 3: Cross multiply
    97,694.40x = 146,538.86 × 31,138.52
  4. Step 4: Simplify right side
    97,694.40x = 4,563,002,334.50
  5. Step 5: Solve for x
    x = 4,563,002,334.50/97,694.40
  6. Step 6: Final answer
    x = 46,706.90

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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.