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Finding the Fourth Proportional to 32,318, 48,476.92 and 8,944.36

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Solution

The fourth proportional to 32,318, 48,476.92 and 8,944.36 is: 13,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,318 : 48,476.92 = 8,944.36 : x
  2. Step 2: Convert to fraction form
    32,318/48,476.92 = 8,944.36/x
  3. Step 3: Cross multiply
    32,318x = 48,476.92 × 8,944.36
  4. Step 4: Simplify right side
    32,318x = 433,595,024.17
  5. Step 5: Solve for x
    x = 433,595,024.17/32,318
  6. Step 6: Final answer
    x = 13,416.52

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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.