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Finding the Fourth Proportional to 89,425, 123,406.50 and 49,681

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Solution

The fourth proportional to 89,425, 123,406.50 and 49,681 is: 68,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,425 : 123,406.50 = 49,681 : x
  2. Step 2: Convert to fraction form
    89,425/123,406.50 = 49,681/x
  3. Step 3: Cross multiply
    89,425x = 123,406.50 × 49,681
  4. Step 4: Simplify right side
    89,425x = 6,130,958,326.50
  5. Step 5: Solve for x
    x = 6,130,958,326.50/89,425
  6. Step 6: Final answer
    x = 68,559.78

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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.