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Finding the Fourth Proportional to 49,404.70, 74,106.80 and 11,964.77

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Solution

The fourth proportional to 49,404.70, 74,106.80 and 11,964.77 is: 17,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,404.70 : 74,106.80 = 11,964.77 : x
  2. Step 2: Convert to fraction form
    49,404.70/74,106.80 = 11,964.77/x
  3. Step 3: Cross multiply
    49,404.70x = 74,106.80 × 11,964.77
  4. Step 4: Simplify right side
    49,404.70x = 886,670,832.94
  5. Step 5: Solve for x
    x = 886,670,832.94/49,404.70
  6. Step 6: Final answer
    x = 17,947.10

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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.