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Finding the Fourth Proportional to 54,937.40, 82,406.10 and 19,864.40

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Solution

The fourth proportional to 54,937.40, 82,406.10 and 19,864.40 is: 29,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937.40 : 82,406.10 = 19,864.40 : x
  2. Step 2: Convert to fraction form
    54,937.40/82,406.10 = 19,864.40/x
  3. Step 3: Cross multiply
    54,937.40x = 82,406.10 × 19,864.40
  4. Step 4: Simplify right side
    54,937.40x = 1,636,947,732.84
  5. Step 5: Solve for x
    x = 1,636,947,732.84/54,937.40
  6. Step 6: Final answer
    x = 29,796.60

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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.