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Finding the Fourth Proportional to 32,570.40, 48,850.80 and 9,199.20

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Solution

The fourth proportional to 32,570.40, 48,850.80 and 9,199.20 is: 13,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.40 : 48,850.80 = 9,199.20 : x
  2. Step 2: Convert to fraction form
    32,570.40/48,850.80 = 9,199.20/x
  3. Step 3: Cross multiply
    32,570.40x = 48,850.80 × 9,199.20
  4. Step 4: Simplify right side
    32,570.40x = 449,388,279.36
  5. Step 5: Solve for x
    x = 449,388,279.36/32,570.40
  6. Step 6: Final answer
    x = 13,797.44

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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.