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Finding the Fourth Proportional to 24,452, 36,678.48 and 8,036

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Solution

The fourth proportional to 24,452, 36,678.48 and 8,036 is: 12,054.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452 : 36,678.48 = 8,036 : x
  2. Step 2: Convert to fraction form
    24,452/36,678.48 = 8,036/x
  3. Step 3: Cross multiply
    24,452x = 36,678.48 × 8,036
  4. Step 4: Simplify right side
    24,452x = 294,748,265.28
  5. Step 5: Solve for x
    x = 294,748,265.28/24,452
  6. Step 6: Final answer
    x = 12,054.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.