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Finding the Fourth Proportional to 32,447.28, 48,659.04 and 15,802.32

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Solution

The fourth proportional to 32,447.28, 48,659.04 and 15,802.32 is: 23,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.28 : 48,659.04 = 15,802.32 : x
  2. Step 2: Convert to fraction form
    32,447.28/48,659.04 = 15,802.32/x
  3. Step 3: Cross multiply
    32,447.28x = 48,659.04 × 15,802.32
  4. Step 4: Simplify right side
    32,447.28x = 768,925,720.97
  5. Step 5: Solve for x
    x = 768,925,720.97/32,447.28
  6. Step 6: Final answer
    x = 23,697.69

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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.