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Finding the Fourth Proportional to 32,462.36, 48,688.64 and 10,272.84

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Solution

The fourth proportional to 32,462.36, 48,688.64 and 10,272.84 is: 15,407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.36 : 48,688.64 = 10,272.84 : x
  2. Step 2: Convert to fraction form
    32,462.36/48,688.64 = 10,272.84/x
  3. Step 3: Cross multiply
    32,462.36x = 48,688.64 × 10,272.84
  4. Step 4: Simplify right side
    32,462.36x = 500,170,557.17
  5. Step 5: Solve for x
    x = 500,170,557.17/32,462.36
  6. Step 6: Final answer
    x = 15,407.71

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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.