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Finding the Fourth Proportional to 32,862.24, 49,286.16 and 9,483.60

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Solution

The fourth proportional to 32,862.24, 49,286.16 and 9,483.60 is: 14,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862.24 : 49,286.16 = 9,483.60 : x
  2. Step 2: Convert to fraction form
    32,862.24/49,286.16 = 9,483.60/x
  3. Step 3: Cross multiply
    32,862.24x = 49,286.16 × 9,483.60
  4. Step 4: Simplify right side
    32,862.24x = 467,410,226.98
  5. Step 5: Solve for x
    x = 467,410,226.98/32,862.24
  6. Step 6: Final answer
    x = 14,223.32

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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.