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Finding the Fourth Proportional to 100,381.49, 150,565.19 and 47,085.15

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Solution

The fourth proportional to 100,381.49, 150,565.19 and 47,085.15 is: 70,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,381.49 : 150,565.19 = 47,085.15 : x
  2. Step 2: Convert to fraction form
    100,381.49/150,565.19 = 47,085.15/x
  3. Step 3: Cross multiply
    100,381.49x = 150,565.19 × 47,085.15
  4. Step 4: Simplify right side
    100,381.49x = 7,089,384,320.50
  5. Step 5: Solve for x
    x = 7,089,384,320.50/100,381.49
  6. Step 6: Final answer
    x = 70,624.42

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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.