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Finding the Fourth Proportional to 32,731.40, 49,097.10 and 22,233.80

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Solution

The fourth proportional to 32,731.40, 49,097.10 and 22,233.80 is: 33,350.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731.40 : 49,097.10 = 22,233.80 : x
  2. Step 2: Convert to fraction form
    32,731.40/49,097.10 = 22,233.80/x
  3. Step 3: Cross multiply
    32,731.40x = 49,097.10 × 22,233.80
  4. Step 4: Simplify right side
    32,731.40x = 1,091,615,101.98
  5. Step 5: Solve for x
    x = 1,091,615,101.98/32,731.40
  6. Step 6: Final answer
    x = 33,350.70

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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.