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Finding the Fourth Proportional to 32,230.68, 48,360.42 and 14,464.92

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Solution

The fourth proportional to 32,230.68, 48,360.42 and 14,464.92 is: 21,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230.68 : 48,360.42 = 14,464.92 : x
  2. Step 2: Convert to fraction form
    32,230.68/48,360.42 = 14,464.92/x
  3. Step 3: Cross multiply
    32,230.68x = 48,360.42 × 14,464.92
  4. Step 4: Simplify right side
    32,230.68x = 699,529,606.47
  5. Step 5: Solve for x
    x = 699,529,606.47/32,230.68
  6. Step 6: Final answer
    x = 21,703.84

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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.