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Finding the Fourth Proportional to 32,143.52, 48,222.64 and 12,422.24

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Solution

The fourth proportional to 32,143.52, 48,222.64 and 12,422.24 is: 18,636.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.52 : 48,222.64 = 12,422.24 : x
  2. Step 2: Convert to fraction form
    32,143.52/48,222.64 = 12,422.24/x
  3. Step 3: Cross multiply
    32,143.52x = 48,222.64 × 12,422.24
  4. Step 4: Simplify right side
    32,143.52x = 599,033,207.51
  5. Step 5: Solve for x
    x = 599,033,207.51/32,143.52
  6. Step 6: Final answer
    x = 18,636.20

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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.