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Finding the Fourth Proportional to 32,203.63, 48,310.60 and 10,022.13

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Solution

The fourth proportional to 32,203.63, 48,310.60 and 10,022.13 is: 15,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.63 : 48,310.60 = 10,022.13 : x
  2. Step 2: Convert to fraction form
    32,203.63/48,310.60 = 10,022.13/x
  3. Step 3: Cross multiply
    32,203.63x = 48,310.60 × 10,022.13
  4. Step 4: Simplify right side
    32,203.63x = 484,175,135.50
  5. Step 5: Solve for x
    x = 484,175,135.50/32,203.63
  6. Step 6: Final answer
    x = 15,034.80

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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.