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Finding the Fourth Proportional to 32,145.93, 48,224.39 and 11,088.14

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Solution

The fourth proportional to 32,145.93, 48,224.39 and 11,088.14 is: 16,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.93 : 48,224.39 = 11,088.14 : x
  2. Step 2: Convert to fraction form
    32,145.93/48,224.39 = 11,088.14/x
  3. Step 3: Cross multiply
    32,145.93x = 48,224.39 × 11,088.14
  4. Step 4: Simplify right side
    32,145.93x = 534,718,491.17
  5. Step 5: Solve for x
    x = 534,718,491.17/32,145.93
  6. Step 6: Final answer
    x = 16,634.10

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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.