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Finding the Fourth Proportional to 54,815.82, 75,642.03 and 32,455.50

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Solution

The fourth proportional to 54,815.82, 75,642.03 and 32,455.50 is: 44,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,815.82 : 75,642.03 = 32,455.50 : x
  2. Step 2: Convert to fraction form
    54,815.82/75,642.03 = 32,455.50/x
  3. Step 3: Cross multiply
    54,815.82x = 75,642.03 × 32,455.50
  4. Step 4: Simplify right side
    54,815.82x = 2,454,999,904.67
  5. Step 5: Solve for x
    x = 2,454,999,904.67/54,815.82
  6. Step 6: Final answer
    x = 44,786.34

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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.