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Finding the Fourth Proportional to 49,176.84, 73,765.30 and 21,078.66

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Solution

The fourth proportional to 49,176.84, 73,765.30 and 21,078.66 is: 31,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,176.84 : 73,765.30 = 21,078.66 : x
  2. Step 2: Convert to fraction form
    49,176.84/73,765.30 = 21,078.66/x
  3. Step 3: Cross multiply
    49,176.84x = 73,765.30 × 21,078.66
  4. Step 4: Simplify right side
    49,176.84x = 1,554,873,678.50
  5. Step 5: Solve for x
    x = 1,554,873,678.50/49,176.84
  6. Step 6: Final answer
    x = 31,618.01

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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.