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Finding the Fourth Proportional to 70,510.11, 105,743.24 and 23,114.78

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Solution

The fourth proportional to 70,510.11, 105,743.24 and 23,114.78 is: 34,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,510.11 : 105,743.24 = 23,114.78 : x
  2. Step 2: Convert to fraction form
    70,510.11/105,743.24 = 23,114.78/x
  3. Step 3: Cross multiply
    70,510.11x = 105,743.24 × 23,114.78
  4. Step 4: Simplify right side
    70,510.11x = 2,444,231,729.09
  5. Step 5: Solve for x
    x = 2,444,231,729.09/70,510.11
  6. Step 6: Final answer
    x = 34,664.98

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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.