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Finding the Fourth Proportional to 49,776, 68,690.88 and 27,419.52

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Solution

The fourth proportional to 49,776, 68,690.88 and 27,419.52 is: 37,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,776 : 68,690.88 = 27,419.52 : x
  2. Step 2: Convert to fraction form
    49,776/68,690.88 = 27,419.52/x
  3. Step 3: Cross multiply
    49,776x = 68,690.88 × 27,419.52
  4. Step 4: Simplify right side
    49,776x = 1,883,470,957.98
  5. Step 5: Solve for x
    x = 1,883,470,957.98/49,776
  6. Step 6: Final answer
    x = 37,838.94

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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.