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Finding the Fourth Proportional to 107,415.98, 161,197.92 and 37,295.30

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Solution

The fourth proportional to 107,415.98, 161,197.92 and 37,295.30 is: 55,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,415.98 : 161,197.92 = 37,295.30 : x
  2. Step 2: Convert to fraction form
    107,415.98/161,197.92 = 37,295.30/x
  3. Step 3: Cross multiply
    107,415.98x = 161,197.92 × 37,295.30
  4. Step 4: Simplify right side
    107,415.98x = 6,011,924,785.78
  5. Step 5: Solve for x
    x = 6,011,924,785.78/107,415.98
  6. Step 6: Final answer
    x = 55,968.63

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1.5x scale

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.