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Finding the Fourth Proportional to 89,196.56, 123,092.64 and 48,914

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Solution

The fourth proportional to 89,196.56, 123,092.64 and 48,914 is: 67,502.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,196.56 : 123,092.64 = 48,914 : x
  2. Step 2: Convert to fraction form
    89,196.56/123,092.64 = 48,914/x
  3. Step 3: Cross multiply
    89,196.56x = 123,092.64 × 48,914
  4. Step 4: Simplify right side
    89,196.56x = 6,020,953,392.96
  5. Step 5: Solve for x
    x = 6,020,953,392.96/89,196.56
  6. Step 6: Final answer
    x = 67,502.08

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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.