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Finding the Fourth Proportional to 54,825.84, 82,263.78 and 29,828.40

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Solution

The fourth proportional to 54,825.84, 82,263.78 and 29,828.40 is: 44,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,825.84 : 82,263.78 = 29,828.40 : x
  2. Step 2: Convert to fraction form
    54,825.84/82,263.78 = 29,828.40/x
  3. Step 3: Cross multiply
    54,825.84x = 82,263.78 × 29,828.40
  4. Step 4: Simplify right side
    54,825.84x = 2,453,796,935.35
  5. Step 5: Solve for x
    x = 2,453,796,935.35/54,825.84
  6. Step 6: Final answer
    x = 44,756.21

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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.