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Finding the Fourth Proportional to 54,694, 75,477.75 and 29,543.50

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Solution

The fourth proportional to 54,694, 75,477.75 and 29,543.50 is: 40,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,694 : 75,477.75 = 29,543.50 : x
  2. Step 2: Convert to fraction form
    54,694/75,477.75 = 29,543.50/x
  3. Step 3: Cross multiply
    54,694x = 75,477.75 × 29,543.50
  4. Step 4: Simplify right side
    54,694x = 2,229,876,907.13
  5. Step 5: Solve for x
    x = 2,229,876,907.13/54,694
  6. Step 6: Final answer
    x = 40,770.05

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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.