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Finding the Fourth Proportional to 107,571, 161,365.02 and 32,697.64

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Solution

The fourth proportional to 107,571, 161,365.02 and 32,697.64 is: 49,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,571 : 161,365.02 = 32,697.64 : x
  2. Step 2: Convert to fraction form
    107,571/161,365.02 = 32,697.64/x
  3. Step 3: Cross multiply
    107,571x = 161,365.02 × 32,697.64
  4. Step 4: Simplify right side
    107,571x = 5,276,255,332.55
  5. Step 5: Solve for x
    x = 5,276,255,332.55/107,571
  6. Step 6: Final answer
    x = 49,049.05

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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.