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Finding the Fourth Proportional to 32,841.36, 49,247.40 and 9,462.24

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Solution

The fourth proportional to 32,841.36, 49,247.40 and 9,462.24 is: 14,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,841.36 : 49,247.40 = 9,462.24 : x
  2. Step 2: Convert to fraction form
    32,841.36/49,247.40 = 9,462.24/x
  3. Step 3: Cross multiply
    32,841.36x = 49,247.40 × 9,462.24
  4. Step 4: Simplify right side
    32,841.36x = 465,990,718.18
  5. Step 5: Solve for x
    x = 465,990,718.18/32,841.36
  6. Step 6: Final answer
    x = 14,189.14

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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.