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Finding the Fourth Proportional to 54,821.70, 82,263.87 and 29,860.74

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Solution

The fourth proportional to 54,821.70, 82,263.87 and 29,860.74 is: 44,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,821.70 : 82,263.87 = 29,860.74 : x
  2. Step 2: Convert to fraction form
    54,821.70/82,263.87 = 29,860.74/x
  3. Step 3: Cross multiply
    54,821.70x = 82,263.87 × 29,860.74
  4. Step 4: Simplify right side
    54,821.70x = 2,456,460,033.46
  5. Step 5: Solve for x
    x = 2,456,460,033.46/54,821.70
  6. Step 6: Final answer
    x = 44,808.17

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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.