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Finding the Fourth Proportional to 95,946.51, 143,919.77 and 25,824

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Solution

The fourth proportional to 95,946.51, 143,919.77 and 25,824 is: 38,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,946.51 : 143,919.77 = 25,824 : x
  2. Step 2: Convert to fraction form
    95,946.51/143,919.77 = 25,824/x
  3. Step 3: Cross multiply
    95,946.51x = 143,919.77 × 25,824
  4. Step 4: Simplify right side
    95,946.51x = 3,716,584,011.36
  5. Step 5: Solve for x
    x = 3,716,584,011.36/95,946.51
  6. Step 6: Final answer
    x = 38,736

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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.