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Finding the Fourth Proportional to 70,298.70, 96,982.38 and 43,085.40

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Solution

The fourth proportional to 70,298.70, 96,982.38 and 43,085.40 is: 59,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,298.70 : 96,982.38 = 43,085.40 : x
  2. Step 2: Convert to fraction form
    70,298.70/96,982.38 = 43,085.40/x
  3. Step 3: Cross multiply
    70,298.70x = 96,982.38 × 43,085.40
  4. Step 4: Simplify right side
    70,298.70x = 4,178,524,635.25
  5. Step 5: Solve for x
    x = 4,178,524,635.25/70,298.70
  6. Step 6: Final answer
    x = 59,439.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.