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Finding the Fourth Proportional to 49,710, 68,599.80 and 27,354

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Solution

The fourth proportional to 49,710, 68,599.80 and 27,354 is: 37,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,710 : 68,599.80 = 27,354 : x
  2. Step 2: Convert to fraction form
    49,710/68,599.80 = 27,354/x
  3. Step 3: Cross multiply
    49,710x = 68,599.80 × 27,354
  4. Step 4: Simplify right side
    49,710x = 1,876,478,929.20
  5. Step 5: Solve for x
    x = 1,876,478,929.20/49,710
  6. Step 6: Final answer
    x = 37,748.52

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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.