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Finding the Fourth Proportional to 54,829, 75,664.02 and 29,678.50

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Solution

The fourth proportional to 54,829, 75,664.02 and 29,678.50 is: 40,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,829 : 75,664.02 = 29,678.50 : x
  2. Step 2: Convert to fraction form
    54,829/75,664.02 = 29,678.50/x
  3. Step 3: Cross multiply
    54,829x = 75,664.02 × 29,678.50
  4. Step 4: Simplify right side
    54,829x = 2,245,594,617.57
  5. Step 5: Solve for x
    x = 2,245,594,617.57/54,829
  6. Step 6: Final answer
    x = 40,956.33

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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.