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Finding the Fourth Proportional to 54,742.50, 82,115.28 and 17,806.50

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Solution

The fourth proportional to 54,742.50, 82,115.28 and 17,806.50 is: 26,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.50 : 82,115.28 = 17,806.50 : x
  2. Step 2: Convert to fraction form
    54,742.50/82,115.28 = 17,806.50/x
  3. Step 3: Cross multiply
    54,742.50x = 82,115.28 × 17,806.50
  4. Step 4: Simplify right side
    54,742.50x = 1,462,185,733.32
  5. Step 5: Solve for x
    x = 1,462,185,733.32/54,742.50
  6. Step 6: Final answer
    x = 26,710.25

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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.