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Finding the Fourth Proportional to 32,476.86, 48,709.80 and 9,097.92

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Solution

The fourth proportional to 32,476.86, 48,709.80 and 9,097.92 is: 13,645.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.86 : 48,709.80 = 9,097.92 : x
  2. Step 2: Convert to fraction form
    32,476.86/48,709.80 = 9,097.92/x
  3. Step 3: Cross multiply
    32,476.86x = 48,709.80 × 9,097.92
  4. Step 4: Simplify right side
    32,476.86x = 443,157,863.62
  5. Step 5: Solve for x
    x = 443,157,863.62/32,476.86
  6. Step 6: Final answer
    x = 13,645.34

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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.