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Finding the Fourth Proportional to 32,808.92, 49,203.05 and 10,617.14

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Solution

The fourth proportional to 32,808.92, 49,203.05 and 10,617.14 is: 15,922.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,808.92 : 49,203.05 = 10,617.14 : x
  2. Step 2: Convert to fraction form
    32,808.92/49,203.05 = 10,617.14/x
  3. Step 3: Cross multiply
    32,808.92x = 49,203.05 × 10,617.14
  4. Step 4: Simplify right side
    32,808.92x = 522,395,740.20
  5. Step 5: Solve for x
    x = 522,395,740.20/32,808.92
  6. Step 6: Final answer
    x = 15,922.37

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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.