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Finding the Fourth Proportional to 32,003.60, 48,005.40 and 20,728.40

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Solution

The fourth proportional to 32,003.60, 48,005.40 and 20,728.40 is: 31,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.60 : 48,005.40 = 20,728.40 : x
  2. Step 2: Convert to fraction form
    32,003.60/48,005.40 = 20,728.40/x
  3. Step 3: Cross multiply
    32,003.60x = 48,005.40 × 20,728.40
  4. Step 4: Simplify right side
    32,003.60x = 995,075,133.36
  5. Step 5: Solve for x
    x = 995,075,133.36/32,003.60
  6. Step 6: Final answer
    x = 31,092.60

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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.