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Finding the Fourth Proportional to 54,677.91, 75,457.10 and 32,014.78

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Solution

The fourth proportional to 54,677.91, 75,457.10 and 32,014.78 is: 44,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677.91 : 75,457.10 = 32,014.78 : x
  2. Step 2: Convert to fraction form
    54,677.91/75,457.10 = 32,014.78/x
  3. Step 3: Cross multiply
    54,677.91x = 75,457.10 × 32,014.78
  4. Step 4: Simplify right side
    54,677.91x = 2,415,742,347.33
  5. Step 5: Solve for x
    x = 2,415,742,347.33/54,677.91
  6. Step 6: Final answer
    x = 44,181.32

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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.