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Finding the Fourth Proportional to 70,729.68, 106,071.84 and 23,334.15

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Solution

The fourth proportional to 70,729.68, 106,071.84 and 23,334.15 is: 34,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,729.68 : 106,071.84 = 23,334.15 : x
  2. Step 2: Convert to fraction form
    70,729.68/106,071.84 = 23,334.15/x
  3. Step 3: Cross multiply
    70,729.68x = 106,071.84 × 23,334.15
  4. Step 4: Simplify right side
    70,729.68x = 2,475,096,225.34
  5. Step 5: Solve for x
    x = 2,475,096,225.34/70,729.68
  6. Step 6: Final answer
    x = 34,993.74

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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.