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Finding the Fourth Proportional to 54,808.25, 75,635.10 and 29,657.75

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Solution

The fourth proportional to 54,808.25, 75,635.10 and 29,657.75 is: 40,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,808.25 : 75,635.10 = 29,657.75 : x
  2. Step 2: Convert to fraction form
    54,808.25/75,635.10 = 29,657.75/x
  3. Step 3: Cross multiply
    54,808.25x = 75,635.10 × 29,657.75
  4. Step 4: Simplify right side
    54,808.25x = 2,243,166,508.85
  5. Step 5: Solve for x
    x = 2,243,166,508.85/54,808.25
  6. Step 6: Final answer
    x = 40,927.54

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1.5x scale

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.