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Finding the Fourth Proportional to 70,537.35, 105,805.66 and 24,978.85

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Solution

The fourth proportional to 70,537.35, 105,805.66 and 24,978.85 is: 37,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537.35 : 105,805.66 = 24,978.85 : x
  2. Step 2: Convert to fraction form
    70,537.35/105,805.66 = 24,978.85/x
  3. Step 3: Cross multiply
    70,537.35x = 105,805.66 × 24,978.85
  4. Step 4: Simplify right side
    70,537.35x = 2,642,903,912.36
  5. Step 5: Solve for x
    x = 2,642,903,912.36/70,537.35
  6. Step 6: Final answer
    x = 37,468.15

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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.