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Finding the Fourth Proportional to 32,219.86, 44,488.29 and 20,897.28

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Solution

The fourth proportional to 32,219.86, 44,488.29 and 20,897.28 is: 28,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.86 : 44,488.29 = 20,897.28 : x
  2. Step 2: Convert to fraction form
    32,219.86/44,488.29 = 20,897.28/x
  3. Step 3: Cross multiply
    32,219.86x = 44,488.29 × 20,897.28
  4. Step 4: Simplify right side
    32,219.86x = 929,684,252.85
  5. Step 5: Solve for x
    x = 929,684,252.85/32,219.86
  6. Step 6: Final answer
    x = 28,854.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.