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Finding the Fourth Proportional to 77,412.48, 116,137.92 and 22,008

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Solution

The fourth proportional to 77,412.48, 116,137.92 and 22,008 is: 33,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412.48 : 116,137.92 = 22,008 : x
  2. Step 2: Convert to fraction form
    77,412.48/116,137.92 = 22,008/x
  3. Step 3: Cross multiply
    77,412.48x = 116,137.92 × 22,008
  4. Step 4: Simplify right side
    77,412.48x = 2,555,963,343.36
  5. Step 5: Solve for x
    x = 2,555,963,343.36/77,412.48
  6. Step 6: Final answer
    x = 33,017.46

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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.