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Finding the Fourth Proportional to 70,952.41, 106,308.17 and 42,813.33

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Solution

The fourth proportional to 70,952.41, 106,308.17 and 42,813.33 is: 64,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,952.41 : 106,308.17 = 42,813.33 : x
  2. Step 2: Convert to fraction form
    70,952.41/106,308.17 = 42,813.33/x
  3. Step 3: Cross multiply
    70,952.41x = 106,308.17 × 42,813.33
  4. Step 4: Simplify right side
    70,952.41x = 4,551,407,029.68
  5. Step 5: Solve for x
    x = 4,551,407,029.68/70,952.41
  6. Step 6: Final answer
    x = 64,147.32

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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.