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Finding the Fourth Proportional to 97,957.74, 146,894.49 and 31,375.74

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Solution

The fourth proportional to 97,957.74, 146,894.49 and 31,375.74 is: 47,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,957.74 : 146,894.49 = 31,375.74 : x
  2. Step 2: Convert to fraction form
    97,957.74/146,894.49 = 31,375.74/x
  3. Step 3: Cross multiply
    97,957.74x = 146,894.49 × 31,375.74
  4. Step 4: Simplify right side
    97,957.74x = 4,608,923,325.67
  5. Step 5: Solve for x
    x = 4,608,923,325.67/97,957.74
  6. Step 6: Final answer
    x = 47,050.12

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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.