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Finding the Fourth Proportional to 31,176.60, 46,789.74 and 16,394.16

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Solution

The fourth proportional to 31,176.60, 46,789.74 and 16,394.16 is: 24,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.60 : 46,789.74 = 16,394.16 : x
  2. Step 2: Convert to fraction form
    31,176.60/46,789.74 = 16,394.16/x
  3. Step 3: Cross multiply
    31,176.60x = 46,789.74 × 16,394.16
  4. Step 4: Simplify right side
    31,176.60x = 767,078,483.92
  5. Step 5: Solve for x
    x = 767,078,483.92/31,176.60
  6. Step 6: Final answer
    x = 24,604.30

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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.