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Finding the Fourth Proportional to 32,023.80, 48,006.90 and 20,935.80

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Solution

The fourth proportional to 32,023.80, 48,006.90 and 20,935.80 is: 31,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.80 : 48,006.90 = 20,935.80 : x
  2. Step 2: Convert to fraction form
    32,023.80/48,006.90 = 20,935.80/x
  3. Step 3: Cross multiply
    32,023.80x = 48,006.90 × 20,935.80
  4. Step 4: Simplify right side
    32,023.80x = 1,005,062,857.02
  5. Step 5: Solve for x
    x = 1,005,062,857.02/32,023.80
  6. Step 6: Final answer
    x = 31,384.87

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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.