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Finding the Fourth Proportional to 103,306.32, 155,034.18 and 36,747

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Solution

The fourth proportional to 103,306.32, 155,034.18 and 36,747 is: 55,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,306.32 : 155,034.18 = 36,747 : x
  2. Step 2: Convert to fraction form
    103,306.32/155,034.18 = 36,747/x
  3. Step 3: Cross multiply
    103,306.32x = 155,034.18 × 36,747
  4. Step 4: Simplify right side
    103,306.32x = 5,697,041,012.46
  5. Step 5: Solve for x
    x = 5,697,041,012.46/103,306.32
  6. Step 6: Final answer
    x = 55,147.07

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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.