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Finding the Fourth Proportional to 32,811.12, 49,227.48 and 13,078.80

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Solution

The fourth proportional to 32,811.12, 49,227.48 and 13,078.80 is: 19,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.12 : 49,227.48 = 13,078.80 : x
  2. Step 2: Convert to fraction form
    32,811.12/49,227.48 = 13,078.80/x
  3. Step 3: Cross multiply
    32,811.12x = 49,227.48 × 13,078.80
  4. Step 4: Simplify right side
    32,811.12x = 643,836,365.42
  5. Step 5: Solve for x
    x = 643,836,365.42/32,811.12
  6. Step 6: Final answer
    x = 19,622.50

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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.