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Finding the Fourth Proportional to 54,955.65, 75,814.71 and 32,284.41

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Solution

The fourth proportional to 54,955.65, 75,814.71 and 32,284.41 is: 44,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,955.65 : 75,814.71 = 32,284.41 : x
  2. Step 2: Convert to fraction form
    54,955.65/75,814.71 = 32,284.41/x
  3. Step 3: Cross multiply
    54,955.65x = 75,814.71 × 32,284.41
  4. Step 4: Simplify right side
    54,955.65x = 2,447,633,181.67
  5. Step 5: Solve for x
    x = 2,447,633,181.67/54,955.65
  6. Step 6: Final answer
    x = 44,538.34

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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.