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Finding the Fourth Proportional to 77,516.94, 106,974.50 and 43,532.79

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Solution

The fourth proportional to 77,516.94, 106,974.50 and 43,532.79 is: 60,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,516.94 : 106,974.50 = 43,532.79 : x
  2. Step 2: Convert to fraction form
    77,516.94/106,974.50 = 43,532.79/x
  3. Step 3: Cross multiply
    77,516.94x = 106,974.50 × 43,532.79
  4. Step 4: Simplify right side
    77,516.94x = 4,656,898,443.86
  5. Step 5: Solve for x
    x = 4,656,898,443.86/77,516.94
  6. Step 6: Final answer
    x = 60,075.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.