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Finding the Fourth Proportional to 32,803.64, 49,163.91 and 20,952.87

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Solution

The fourth proportional to 32,803.64, 49,163.91 and 20,952.87 is: 31,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.64 : 49,163.91 = 20,952.87 : x
  2. Step 2: Convert to fraction form
    32,803.64/49,163.91 = 20,952.87/x
  3. Step 3: Cross multiply
    32,803.64x = 49,163.91 × 20,952.87
  4. Step 4: Simplify right side
    32,803.64x = 1,030,125,014.92
  5. Step 5: Solve for x
    x = 1,030,125,014.92/32,803.64
  6. Step 6: Final answer
    x = 31,402.77

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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.