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Finding the Fourth Proportional to 83,249, 124,873.62 and 34,001

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Solution

The fourth proportional to 83,249, 124,873.62 and 34,001 is: 51,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,249 : 124,873.62 = 34,001 : x
  2. Step 2: Convert to fraction form
    83,249/124,873.62 = 34,001/x
  3. Step 3: Cross multiply
    83,249x = 124,873.62 × 34,001
  4. Step 4: Simplify right side
    83,249x = 4,245,827,953.62
  5. Step 5: Solve for x
    x = 4,245,827,953.62/83,249
  6. Step 6: Final answer
    x = 51,001.55

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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.