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Finding the Fourth Proportional to 32,200.64, 48,256.36 and 23,244.56

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Solution

The fourth proportional to 32,200.64, 48,256.36 and 23,244.56 is: 34,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.64 : 48,256.36 = 23,244.56 : x
  2. Step 2: Convert to fraction form
    32,200.64/48,256.36 = 23,244.56/x
  3. Step 3: Cross multiply
    32,200.64x = 48,256.36 × 23,244.56
  4. Step 4: Simplify right side
    32,200.64x = 1,121,697,855.40
  5. Step 5: Solve for x
    x = 1,121,697,855.40/32,200.64
  6. Step 6: Final answer
    x = 34,834.64

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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.