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Finding the Fourth Proportional to 32,230.58, 48,316.71 and 11,449.22

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Solution

The fourth proportional to 32,230.58, 48,316.71 and 11,449.22 is: 17,163.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230.58 : 48,316.71 = 11,449.22 : x
  2. Step 2: Convert to fraction form
    32,230.58/48,316.71 = 11,449.22/x
  3. Step 3: Cross multiply
    32,230.58x = 48,316.71 × 11,449.22
  4. Step 4: Simplify right side
    32,230.58x = 553,188,642.47
  5. Step 5: Solve for x
    x = 553,188,642.47/32,230.58
  6. Step 6: Final answer
    x = 17,163.47

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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.