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Finding the Fourth Proportional to 97,886.91, 146,841.03 and 31,311.39

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Solution

The fourth proportional to 97,886.91, 146,841.03 and 31,311.39 is: 46,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886.91 : 146,841.03 = 31,311.39 : x
  2. Step 2: Convert to fraction form
    97,886.91/146,841.03 = 31,311.39/x
  3. Step 3: Cross multiply
    97,886.91x = 146,841.03 × 31,311.39
  4. Step 4: Simplify right side
    97,886.91x = 4,597,796,758.33
  5. Step 5: Solve for x
    x = 4,597,796,758.33/97,886.91
  6. Step 6: Final answer
    x = 46,970.50

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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.