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Finding the Fourth Proportional to 100,564.84, 150,847.14 and 25,685.05

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Solution

The fourth proportional to 100,564.84, 150,847.14 and 25,685.05 is: 38,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.84 : 150,847.14 = 25,685.05 : x
  2. Step 2: Convert to fraction form
    100,564.84/150,847.14 = 25,685.05/x
  3. Step 3: Cross multiply
    100,564.84x = 150,847.14 × 25,685.05
  4. Step 4: Simplify right side
    100,564.84x = 3,874,516,333.26
  5. Step 5: Solve for x
    x = 3,874,516,333.26/100,564.84
  6. Step 6: Final answer
    x = 38,527.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.