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Finding the Fourth Proportional to 70,965.06, 106,327.09 and 42,825.98

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Solution

The fourth proportional to 70,965.06, 106,327.09 and 42,825.98 is: 64,166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965.06 : 106,327.09 = 42,825.98 : x
  2. Step 2: Convert to fraction form
    70,965.06/106,327.09 = 42,825.98/x
  3. Step 3: Cross multiply
    70,965.06x = 106,327.09 × 42,825.98
  4. Step 4: Simplify right side
    70,965.06x = 4,553,561,615.67
  5. Step 5: Solve for x
    x = 4,553,561,615.67/70,965.06
  6. Step 6: Final answer
    x = 64,166.25

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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.