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Finding the Fourth Proportional to 97,874.87, 146,823.03 and 31,299.35

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Solution

The fourth proportional to 97,874.87, 146,823.03 and 31,299.35 is: 46,952.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874.87 : 146,823.03 = 31,299.35 : x
  2. Step 2: Convert to fraction form
    97,874.87/146,823.03 = 31,299.35/x
  3. Step 3: Cross multiply
    97,874.87x = 146,823.03 × 31,299.35
  4. Step 4: Simplify right side
    97,874.87x = 4,595,464,669.92
  5. Step 5: Solve for x
    x = 4,595,464,669.92/97,874.87
  6. Step 6: Final answer
    x = 46,952.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.