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Finding the Fourth Proportional to 32,056.86, 48,089.17 and 13,349.58

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Solution

The fourth proportional to 32,056.86, 48,089.17 and 13,349.58 is: 20,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,056.86 : 48,089.17 = 13,349.58 : x
  2. Step 2: Convert to fraction form
    32,056.86/48,089.17 = 13,349.58/x
  3. Step 3: Cross multiply
    32,056.86x = 48,089.17 × 13,349.58
  4. Step 4: Simplify right side
    32,056.86x = 641,970,426.61
  5. Step 5: Solve for x
    x = 641,970,426.61/32,056.86
  6. Step 6: Final answer
    x = 20,025.99

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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.