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Finding the Fourth Proportional to 54,574.40, 81,858.25 and 32,097.50

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Solution

The fourth proportional to 54,574.40, 81,858.25 and 32,097.50 is: 48,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,574.40 : 81,858.25 = 32,097.50 : x
  2. Step 2: Convert to fraction form
    54,574.40/81,858.25 = 32,097.50/x
  3. Step 3: Cross multiply
    54,574.40x = 81,858.25 × 32,097.50
  4. Step 4: Simplify right side
    54,574.40x = 2,627,445,018.89
  5. Step 5: Solve for x
    x = 2,627,445,018.89/54,574.40
  6. Step 6: Final answer
    x = 48,144.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.