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Finding the Fourth Proportional to 54,766, 75,577.08 and 29,615.50

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Solution

The fourth proportional to 54,766, 75,577.08 and 29,615.50 is: 40,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,766 : 75,577.08 = 29,615.50 : x
  2. Step 2: Convert to fraction form
    54,766/75,577.08 = 29,615.50/x
  3. Step 3: Cross multiply
    54,766x = 75,577.08 × 29,615.50
  4. Step 4: Simplify right side
    54,766x = 2,238,253,012.74
  5. Step 5: Solve for x
    x = 2,238,253,012.74/54,766
  6. Step 6: Final answer
    x = 40,869.39

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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.