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Finding the Fourth Proportional to 83,144.86, 124,699.06 and 23,967.68

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Solution

The fourth proportional to 83,144.86, 124,699.06 and 23,967.68 is: 35,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,144.86 : 124,699.06 = 23,967.68 : x
  2. Step 2: Convert to fraction form
    83,144.86/124,699.06 = 23,967.68/x
  3. Step 3: Cross multiply
    83,144.86x = 124,699.06 × 23,967.68
  4. Step 4: Simplify right side
    83,144.86x = 2,988,746,572.85
  5. Step 5: Solve for x
    x = 2,988,746,572.85/83,144.86
  6. Step 6: Final answer
    x = 35,946.26

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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.