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Finding the Fourth Proportional to 32,477.46, 48,793.95 and 20,813.46

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Solution

The fourth proportional to 32,477.46, 48,793.95 and 20,813.46 is: 31,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,477.46 : 48,793.95 = 20,813.46 : x
  2. Step 2: Convert to fraction form
    32,477.46/48,793.95 = 20,813.46/x
  3. Step 3: Cross multiply
    32,477.46x = 48,793.95 × 20,813.46
  4. Step 4: Simplify right side
    32,477.46x = 1,015,570,926.57
  5. Step 5: Solve for x
    x = 1,015,570,926.57/32,477.46
  6. Step 6: Final answer
    x = 31,270.02

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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.