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Finding the Fourth Proportional to 83,102.16, 124,616.34 and 23,924.01

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Solution

The fourth proportional to 83,102.16, 124,616.34 and 23,924.01 is: 35,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102.16 : 124,616.34 = 23,924.01 : x
  2. Step 2: Convert to fraction form
    83,102.16/124,616.34 = 23,924.01/x
  3. Step 3: Cross multiply
    83,102.16x = 124,616.34 × 23,924.01
  4. Step 4: Simplify right side
    83,102.16x = 2,981,322,564.32
  5. Step 5: Solve for x
    x = 2,981,322,564.32/83,102.16
  6. Step 6: Final answer
    x = 35,875.39

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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.