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Finding the Fourth Proportional to 32,442.35, 44,770.45 and 18,295.20

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Solution

The fourth proportional to 32,442.35, 44,770.45 and 18,295.20 is: 25,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.35 : 44,770.45 = 18,295.20 : x
  2. Step 2: Convert to fraction form
    32,442.35/44,770.45 = 18,295.20/x
  3. Step 3: Cross multiply
    32,442.35x = 44,770.45 × 18,295.20
  4. Step 4: Simplify right side
    32,442.35x = 819,084,336.84
  5. Step 5: Solve for x
    x = 819,084,336.84/32,442.35
  6. Step 6: Final answer
    x = 25,247.38

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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.