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Finding the Fourth Proportional to 89,146.26, 123,016.50 and 48,852

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Solution

The fourth proportional to 89,146.26, 123,016.50 and 48,852 is: 67,412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,146.26 : 123,016.50 = 48,852 : x
  2. Step 2: Convert to fraction form
    89,146.26/123,016.50 = 48,852/x
  3. Step 3: Cross multiply
    89,146.26x = 123,016.50 × 48,852
  4. Step 4: Simplify right side
    89,146.26x = 6,009,602,058
  5. Step 5: Solve for x
    x = 6,009,602,058/89,146.26
  6. Step 6: Final answer
    x = 67,412.83

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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.