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Finding the Fourth Proportional to 32,057.80, 48,097.24 and 15,415.70

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Solution

The fourth proportional to 32,057.80, 48,097.24 and 15,415.70 is: 23,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.80 : 48,097.24 = 15,415.70 : x
  2. Step 2: Convert to fraction form
    32,057.80/48,097.24 = 15,415.70/x
  3. Step 3: Cross multiply
    32,057.80x = 48,097.24 × 15,415.70
  4. Step 4: Simplify right side
    32,057.80x = 741,452,343.64
  5. Step 5: Solve for x
    x = 741,452,343.64/32,057.80
  6. Step 6: Final answer
    x = 23,128.61

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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.