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Finding the Fourth Proportional to 32,533.20, 48,691.80 and 23,623.20

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Solution

The fourth proportional to 32,533.20, 48,691.80 and 23,623.20 is: 35,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.20 : 48,691.80 = 23,623.20 : x
  2. Step 2: Convert to fraction form
    32,533.20/48,691.80 = 23,623.20/x
  3. Step 3: Cross multiply
    32,533.20x = 48,691.80 × 23,623.20
  4. Step 4: Simplify right side
    32,533.20x = 1,150,256,129.76
  5. Step 5: Solve for x
    x = 1,150,256,129.76/32,533.20
  6. Step 6: Final answer
    x = 35,356.38

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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.