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Finding the Fourth Proportional to 32,209.68, 48,340.50 and 22,208.28

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Solution

The fourth proportional to 32,209.68, 48,340.50 and 22,208.28 is: 33,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.68 : 48,340.50 = 22,208.28 : x
  2. Step 2: Convert to fraction form
    32,209.68/48,340.50 = 22,208.28/x
  3. Step 3: Cross multiply
    32,209.68x = 48,340.50 × 22,208.28
  4. Step 4: Simplify right side
    32,209.68x = 1,073,559,094.78
  5. Step 5: Solve for x
    x = 1,073,559,094.78/32,209.68
  6. Step 6: Final answer
    x = 33,330.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.