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Finding the Fourth Proportional to 70,816.26, 106,171.32 and 42,729.68

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Solution

The fourth proportional to 70,816.26, 106,171.32 and 42,729.68 is: 64,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816.26 : 106,171.32 = 42,729.68 : x
  2. Step 2: Convert to fraction form
    70,816.26/106,171.32 = 42,729.68/x
  3. Step 3: Cross multiply
    70,816.26x = 106,171.32 × 42,729.68
  4. Step 4: Simplify right side
    70,816.26x = 4,536,666,357.23
  5. Step 5: Solve for x
    x = 4,536,666,357.23/70,816.26
  6. Step 6: Final answer
    x = 64,062.50

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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.