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Finding the Fourth Proportional to 70,970.46, 106,448.40 and 23,588.70

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Solution

The fourth proportional to 70,970.46, 106,448.40 and 23,588.70 is: 35,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970.46 : 106,448.40 = 23,588.70 : x
  2. Step 2: Convert to fraction form
    70,970.46/106,448.40 = 23,588.70/x
  3. Step 3: Cross multiply
    70,970.46x = 106,448.40 × 23,588.70
  4. Step 4: Simplify right side
    70,970.46x = 2,510,979,373.08
  5. Step 5: Solve for x
    x = 2,510,979,373.08/70,970.46
  6. Step 6: Final answer
    x = 35,380.63

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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.