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Finding the Fourth Proportional to 32,929.50, 45,442.34 and 17,821.82

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Solution

The fourth proportional to 32,929.50, 45,442.34 and 17,821.82 is: 24,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,929.50 : 45,442.34 = 17,821.82 : x
  2. Step 2: Convert to fraction form
    32,929.50/45,442.34 = 17,821.82/x
  3. Step 3: Cross multiply
    32,929.50x = 45,442.34 × 17,821.82
  4. Step 4: Simplify right side
    32,929.50x = 809,865,203.86
  5. Step 5: Solve for x
    x = 809,865,203.86/32,929.50
  6. Step 6: Final answer
    x = 24,593.91

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