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Finding the Fourth Proportional to 83,072, 124,608 and 24,704

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Solution

The fourth proportional to 83,072, 124,608 and 24,704 is: 37,056

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,072 : 124,608 = 24,704 : x
  2. Step 2: Convert to fraction form
    83,072/124,608 = 24,704/x
  3. Step 3: Cross multiply
    83,072x = 124,608 × 24,704
  4. Step 4: Simplify right side
    83,072x = 3,078,316,032
  5. Step 5: Solve for x
    x = 3,078,316,032/83,072
  6. Step 6: Final answer
    x = 37,056

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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.