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Finding the Fourth Proportional to 32,402.74, 48,533.64 and 15,727.68

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Solution

The fourth proportional to 32,402.74, 48,533.64 and 15,727.68 is: 23,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402.74 : 48,533.64 = 15,727.68 : x
  2. Step 2: Convert to fraction form
    32,402.74/48,533.64 = 15,727.68/x
  3. Step 3: Cross multiply
    32,402.74x = 48,533.64 × 15,727.68
  4. Step 4: Simplify right side
    32,402.74x = 763,321,496.80
  5. Step 5: Solve for x
    x = 763,321,496.80/32,402.74
  6. Step 6: Final answer
    x = 23,557.31

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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.