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Finding the Fourth Proportional to 54,973.50, 75,863.46 and 29,823

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Solution

The fourth proportional to 54,973.50, 75,863.46 and 29,823 is: 41,155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,973.50 : 75,863.46 = 29,823 : x
  2. Step 2: Convert to fraction form
    54,973.50/75,863.46 = 29,823/x
  3. Step 3: Cross multiply
    54,973.50x = 75,863.46 × 29,823
  4. Step 4: Simplify right side
    54,973.50x = 2,262,475,967.58
  5. Step 5: Solve for x
    x = 2,262,475,967.58/54,973.50
  6. Step 6: Final answer
    x = 41,155.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.