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Finding the Fourth Proportional to 32,602.88, 48,876.26 and 13,865.76

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Solution

The fourth proportional to 32,602.88, 48,876.26 and 13,865.76 is: 20,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.88 : 48,876.26 = 13,865.76 : x
  2. Step 2: Convert to fraction form
    32,602.88/48,876.26 = 13,865.76/x
  3. Step 3: Cross multiply
    32,602.88x = 48,876.26 × 13,865.76
  4. Step 4: Simplify right side
    32,602.88x = 677,706,490.86
  5. Step 5: Solve for x
    x = 677,706,490.86/32,602.88
  6. Step 6: Final answer
    x = 20,786.71

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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.