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Finding the Fourth Proportional to 83,068.50, 124,623.54 and 23,902.86

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Solution

The fourth proportional to 83,068.50, 124,623.54 and 23,902.86 is: 35,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,068.50 : 124,623.54 = 23,902.86 : x
  2. Step 2: Convert to fraction form
    83,068.50/124,623.54 = 23,902.86/x
  3. Step 3: Cross multiply
    83,068.50x = 124,623.54 × 23,902.86
  4. Step 4: Simplify right side
    83,068.50x = 2,978,859,029.32
  5. Step 5: Solve for x
    x = 2,978,859,029.32/83,068.50
  6. Step 6: Final answer
    x = 35,860.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.