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Finding the Fourth Proportional to 32,273.80, 44,548.74 and 20,357

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Solution

The fourth proportional to 32,273.80, 44,548.74 and 20,357 is: 28,099.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,273.80 : 44,548.74 = 20,357 : x
  2. Step 2: Convert to fraction form
    32,273.80/44,548.74 = 20,357/x
  3. Step 3: Cross multiply
    32,273.80x = 44,548.74 × 20,357
  4. Step 4: Simplify right side
    32,273.80x = 906,878,700.18
  5. Step 5: Solve for x
    x = 906,878,700.18/32,273.80
  6. Step 6: Final answer
    x = 28,099.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.