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Finding the Fourth Proportional to 82,364.76, 123,462.27 and 32,424.60

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Solution

The fourth proportional to 82,364.76, 123,462.27 and 32,424.60 is: 48,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,364.76 : 123,462.27 = 32,424.60 : x
  2. Step 2: Convert to fraction form
    82,364.76/123,462.27 = 32,424.60/x
  3. Step 3: Cross multiply
    82,364.76x = 123,462.27 × 32,424.60
  4. Step 4: Simplify right side
    82,364.76x = 4,003,214,719.84
  5. Step 5: Solve for x
    x = 4,003,214,719.84/82,364.76
  6. Step 6: Final answer
    x = 48,603.49

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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.