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Finding the Fourth Proportional to 37,047.84, 55,501.68 and 18,306

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Solution

The fourth proportional to 37,047.84, 55,501.68 and 18,306 is: 27,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047.84 : 55,501.68 = 18,306 : x
  2. Step 2: Convert to fraction form
    37,047.84/55,501.68 = 18,306/x
  3. Step 3: Cross multiply
    37,047.84x = 55,501.68 × 18,306
  4. Step 4: Simplify right side
    37,047.84x = 1,016,013,754.08
  5. Step 5: Solve for x
    x = 1,016,013,754.08/37,047.84
  6. Step 6: Final answer
    x = 27,424.37

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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.