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Finding the Fourth Proportional to 70,777.14, 106,142.88 and 23,381.46

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Solution

The fourth proportional to 70,777.14, 106,142.88 and 23,381.46 is: 35,064.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,777.14 : 106,142.88 = 23,381.46 : x
  2. Step 2: Convert to fraction form
    70,777.14/106,142.88 = 23,381.46/x
  3. Step 3: Cross multiply
    70,777.14x = 106,142.88 × 23,381.46
  4. Step 4: Simplify right side
    70,777.14x = 2,481,775,503.00
  5. Step 5: Solve for x
    x = 2,481,775,503.00/70,777.14
  6. Step 6: Final answer
    x = 35,064.65

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1.5x scale

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.