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Finding the Fourth Proportional to 24,701, 37,051.56 and 6,233

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Solution

The fourth proportional to 24,701, 37,051.56 and 6,233 is: 9,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701 : 37,051.56 = 6,233 : x
  2. Step 2: Convert to fraction form
    24,701/37,051.56 = 6,233/x
  3. Step 3: Cross multiply
    24,701x = 37,051.56 × 6,233
  4. Step 4: Simplify right side
    24,701x = 230,942,373.48
  5. Step 5: Solve for x
    x = 230,942,373.48/24,701
  6. Step 6: Final answer
    x = 9,349.52

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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.