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Finding the Fourth Proportional to 32,003.78, 48,039.50 and 17,975.80

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Solution

The fourth proportional to 32,003.78, 48,039.50 and 17,975.80 is: 26,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.78 : 48,039.50 = 17,975.80 : x
  2. Step 2: Convert to fraction form
    32,003.78/48,039.50 = 17,975.80/x
  3. Step 3: Cross multiply
    32,003.78x = 48,039.50 × 17,975.80
  4. Step 4: Simplify right side
    32,003.78x = 863,548,444.10
  5. Step 5: Solve for x
    x = 863,548,444.10/32,003.78
  6. Step 6: Final answer
    x = 26,982.70

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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.