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Finding the Fourth Proportional to 77,970.71, 116,965.22 and 27,354.27

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Solution

The fourth proportional to 77,970.71, 116,965.22 and 27,354.27 is: 41,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.71 : 116,965.22 = 27,354.27 : x
  2. Step 2: Convert to fraction form
    77,970.71/116,965.22 = 27,354.27/x
  3. Step 3: Cross multiply
    77,970.71x = 116,965.22 × 27,354.27
  4. Step 4: Simplify right side
    77,970.71x = 3,199,498,208.49
  5. Step 5: Solve for x
    x = 3,199,498,208.49/77,970.71
  6. Step 6: Final answer
    x = 41,034.62

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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.