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Finding the Fourth Proportional to 53,758.50, 80,628.72 and 16,309.63

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Solution

The fourth proportional to 53,758.50, 80,628.72 and 16,309.63 is: 24,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,758.50 : 80,628.72 = 16,309.63 : x
  2. Step 2: Convert to fraction form
    53,758.50/80,628.72 = 16,309.63/x
  3. Step 3: Cross multiply
    53,758.50x = 80,628.72 × 16,309.63
  4. Step 4: Simplify right side
    53,758.50x = 1,315,024,590.57
  5. Step 5: Solve for x
    x = 1,315,024,590.57/53,758.50
  6. Step 6: Final answer
    x = 24,461.71

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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.