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Finding the Fourth Proportional to 58,389, 80,578.74 and 31,893

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Solution

The fourth proportional to 58,389, 80,578.74 and 31,893 is: 44,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,389 : 80,578.74 = 31,893 : x
  2. Step 2: Convert to fraction form
    58,389/80,578.74 = 31,893/x
  3. Step 3: Cross multiply
    58,389x = 80,578.74 × 31,893
  4. Step 4: Simplify right side
    58,389x = 2,569,897,754.82
  5. Step 5: Solve for x
    x = 2,569,897,754.82/58,389
  6. Step 6: Final answer
    x = 44,013.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.