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Finding the Fourth Proportional to 54,767, 75,578.46 and 29,616.50

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Solution

The fourth proportional to 54,767, 75,578.46 and 29,616.50 is: 40,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,767 : 75,578.46 = 29,616.50 : x
  2. Step 2: Convert to fraction form
    54,767/75,578.46 = 29,616.50/x
  3. Step 3: Cross multiply
    54,767x = 75,578.46 × 29,616.50
  4. Step 4: Simplify right side
    54,767x = 2,238,369,460.59
  5. Step 5: Solve for x
    x = 2,238,369,460.59/54,767
  6. Step 6: Final answer
    x = 40,870.77

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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.