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Finding the Fourth Proportional to 32,047.38, 48,041.78 and 14,268.69

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Solution

The fourth proportional to 32,047.38, 48,041.78 and 14,268.69 is: 21,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.38 : 48,041.78 = 14,268.69 : x
  2. Step 2: Convert to fraction form
    32,047.38/48,041.78 = 14,268.69/x
  3. Step 3: Cross multiply
    32,047.38x = 48,041.78 × 14,268.69
  4. Step 4: Simplify right side
    32,047.38x = 685,493,194.52
  5. Step 5: Solve for x
    x = 685,493,194.52/32,047.38
  6. Step 6: Final answer
    x = 21,389.99

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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.