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Finding the Fourth Proportional to 32,683.86, 48,998.16 and 14,908.20

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Solution

The fourth proportional to 32,683.86, 48,998.16 and 14,908.20 is: 22,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.86 : 48,998.16 = 14,908.20 : x
  2. Step 2: Convert to fraction form
    32,683.86/48,998.16 = 14,908.20/x
  3. Step 3: Cross multiply
    32,683.86x = 48,998.16 × 14,908.20
  4. Step 4: Simplify right side
    32,683.86x = 730,474,368.91
  5. Step 5: Solve for x
    x = 730,474,368.91/32,683.86
  6. Step 6: Final answer
    x = 22,349.70

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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.