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Finding the Fourth Proportional to 32,685.32, 49,023.34 and 10,495.82

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Solution

The fourth proportional to 32,685.32, 49,023.34 and 10,495.82 is: 15,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,685.32 : 49,023.34 = 10,495.82 : x
  2. Step 2: Convert to fraction form
    32,685.32/49,023.34 = 10,495.82/x
  3. Step 3: Cross multiply
    32,685.32x = 49,023.34 × 10,495.82
  4. Step 4: Simplify right side
    32,685.32x = 514,540,152.44
  5. Step 5: Solve for x
    x = 514,540,152.44/32,685.32
  6. Step 6: Final answer
    x = 15,742.24

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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.