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Finding the Fourth Proportional to 70,551.78, 105,821.19 and 23,805.06

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Solution

The fourth proportional to 70,551.78, 105,821.19 and 23,805.06 is: 35,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,551.78 : 105,821.19 = 23,805.06 : x
  2. Step 2: Convert to fraction form
    70,551.78/105,821.19 = 23,805.06/x
  3. Step 3: Cross multiply
    70,551.78x = 105,821.19 × 23,805.06
  4. Step 4: Simplify right side
    70,551.78x = 2,519,079,777.22
  5. Step 5: Solve for x
    x = 2,519,079,777.22/70,551.78
  6. Step 6: Final answer
    x = 35,705.40

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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.