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Finding the Fourth Proportional to 32,877.76, 49,322 and 18,093.60

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Solution

The fourth proportional to 32,877.76, 49,322 and 18,093.60 is: 27,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877.76 : 49,322 = 18,093.60 : x
  2. Step 2: Convert to fraction form
    32,877.76/49,322 = 18,093.60/x
  3. Step 3: Cross multiply
    32,877.76x = 49,322 × 18,093.60
  4. Step 4: Simplify right side
    32,877.76x = 892,412,539.20
  5. Step 5: Solve for x
    x = 892,412,539.20/32,877.76
  6. Step 6: Final answer
    x = 27,143.35

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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.