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Finding the Fourth Proportional to 54,698.49, 82,047.81 and 36,061.76

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Solution

The fourth proportional to 54,698.49, 82,047.81 and 36,061.76 is: 54,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,698.49 : 82,047.81 = 36,061.76 : x
  2. Step 2: Convert to fraction form
    54,698.49/82,047.81 = 36,061.76/x
  3. Step 3: Cross multiply
    54,698.49x = 82,047.81 × 36,061.76
  4. Step 4: Simplify right side
    54,698.49x = 2,958,788,210.15
  5. Step 5: Solve for x
    x = 2,958,788,210.15/54,698.49
  6. Step 6: Final answer
    x = 54,092.69

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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.