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Finding the Fourth Proportional to 49,199.52, 73,784.16 and 46,516.80

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Solution

The fourth proportional to 49,199.52, 73,784.16 and 46,516.80 is: 69,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,199.52 : 73,784.16 = 46,516.80 : x
  2. Step 2: Convert to fraction form
    49,199.52/73,784.16 = 46,516.80/x
  3. Step 3: Cross multiply
    49,199.52x = 73,784.16 × 46,516.80
  4. Step 4: Simplify right side
    49,199.52x = 3,432,203,013.89
  5. Step 5: Solve for x
    x = 3,432,203,013.89/49,199.52
  6. Step 6: Final answer
    x = 69,760.90

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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.