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Finding the Fourth Proportional to 100,459.84, 150,685.32 and 30,337

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Solution

The fourth proportional to 100,459.84, 150,685.32 and 30,337 is: 45,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459.84 : 150,685.32 = 30,337 : x
  2. Step 2: Convert to fraction form
    100,459.84/150,685.32 = 30,337/x
  3. Step 3: Cross multiply
    100,459.84x = 150,685.32 × 30,337
  4. Step 4: Simplify right side
    100,459.84x = 4,571,340,552.84
  5. Step 5: Solve for x
    x = 4,571,340,552.84/100,459.84
  6. Step 6: Final answer
    x = 45,504.16

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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.