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Finding the Fourth Proportional to 32,507.60, 48,728.76 and 22,124.24

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Solution

The fourth proportional to 32,507.60, 48,728.76 and 22,124.24 is: 33,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.60 : 48,728.76 = 22,124.24 : x
  2. Step 2: Convert to fraction form
    32,507.60/48,728.76 = 22,124.24/x
  3. Step 3: Cross multiply
    32,507.60x = 48,728.76 × 22,124.24
  4. Step 4: Simplify right side
    32,507.60x = 1,078,086,781.14
  5. Step 5: Solve for x
    x = 1,078,086,781.14/32,507.60
  6. Step 6: Final answer
    x = 33,164.15

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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.