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Finding the Fourth Proportional to 86,647.84, 129,945.30 and 36,727

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Solution

The fourth proportional to 86,647.84, 129,945.30 and 36,727 is: 55,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,647.84 : 129,945.30 = 36,727 : x
  2. Step 2: Convert to fraction form
    86,647.84/129,945.30 = 36,727/x
  3. Step 3: Cross multiply
    86,647.84x = 129,945.30 × 36,727
  4. Step 4: Simplify right side
    86,647.84x = 4,772,501,033.10
  5. Step 5: Solve for x
    x = 4,772,501,033.10/86,647.84
  6. Step 6: Final answer
    x = 55,079.28

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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.