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Finding the Fourth Proportional to 54,906, 75,778.41 and 34,764.75

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Solution

The fourth proportional to 54,906, 75,778.41 and 34,764.75 is: 47,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906 : 75,778.41 = 34,764.75 : x
  2. Step 2: Convert to fraction form
    54,906/75,778.41 = 34,764.75/x
  3. Step 3: Cross multiply
    54,906x = 75,778.41 × 34,764.75
  4. Step 4: Simplify right side
    54,906x = 2,634,417,479.05
  5. Step 5: Solve for x
    x = 2,634,417,479.05/54,906
  6. Step 6: Final answer
    x = 47,980.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.