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Finding the Fourth Proportional to 24,519, 36,778.59 and 6,051

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Solution

The fourth proportional to 24,519, 36,778.59 and 6,051 is: 9,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,519 : 36,778.59 = 6,051 : x
  2. Step 2: Convert to fraction form
    24,519/36,778.59 = 6,051/x
  3. Step 3: Cross multiply
    24,519x = 36,778.59 × 6,051
  4. Step 4: Simplify right side
    24,519x = 222,547,248.09
  5. Step 5: Solve for x
    x = 222,547,248.09/24,519
  6. Step 6: Final answer
    x = 9,076.52

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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.