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Finding the Fourth Proportional to 54,877, 82,210.32 and 32,623

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Solution

The fourth proportional to 54,877, 82,210.32 and 32,623 is: 48,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,877 : 82,210.32 = 32,623 : x
  2. Step 2: Convert to fraction form
    54,877/82,210.32 = 32,623/x
  3. Step 3: Cross multiply
    54,877x = 82,210.32 × 32,623
  4. Step 4: Simplify right side
    54,877x = 2,681,947,269.36
  5. Step 5: Solve for x
    x = 2,681,947,269.36/54,877
  6. Step 6: Final answer
    x = 48,871.97

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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.