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Finding the Fourth Proportional to 49,316.74, 73,984.40 and 16,046.32

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Solution

The fourth proportional to 49,316.74, 73,984.40 and 16,046.32 is: 24,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,316.74 : 73,984.40 = 16,046.32 : x
  2. Step 2: Convert to fraction form
    49,316.74/73,984.40 = 16,046.32/x
  3. Step 3: Cross multiply
    49,316.74x = 73,984.40 × 16,046.32
  4. Step 4: Simplify right side
    49,316.74x = 1,187,177,357.41
  5. Step 5: Solve for x
    x = 1,187,177,357.41/49,316.74
  6. Step 6: Final answer
    x = 24,072.50

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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.