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Finding the Fourth Proportional to 32,078.24, 48,134.64 and 13,371.20

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Solution

The fourth proportional to 32,078.24, 48,134.64 and 13,371.20 is: 20,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.24 : 48,134.64 = 13,371.20 : x
  2. Step 2: Convert to fraction form
    32,078.24/48,134.64 = 13,371.20/x
  3. Step 3: Cross multiply
    32,078.24x = 48,134.64 × 13,371.20
  4. Step 4: Simplify right side
    32,078.24x = 643,617,898.37
  5. Step 5: Solve for x
    x = 643,617,898.37/32,078.24
  6. Step 6: Final answer
    x = 20,064.00

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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.