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Finding the Fourth Proportional to 46,087.56, 69,131.22 and 18,405

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Solution

The fourth proportional to 46,087.56, 69,131.22 and 18,405 is: 27,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,087.56 : 69,131.22 = 18,405 : x
  2. Step 2: Convert to fraction form
    46,087.56/69,131.22 = 18,405/x
  3. Step 3: Cross multiply
    46,087.56x = 69,131.22 × 18,405
  4. Step 4: Simplify right side
    46,087.56x = 1,272,360,104.10
  5. Step 5: Solve for x
    x = 1,272,360,104.10/46,087.56
  6. Step 6: Final answer
    x = 27,607.45

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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.