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Finding the Fourth Proportional to 32,442.54, 44,770.78 and 17,538.54

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Solution

The fourth proportional to 32,442.54, 44,770.78 and 17,538.54 is: 24,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.54 : 44,770.78 = 17,538.54 : x
  2. Step 2: Convert to fraction form
    32,442.54/44,770.78 = 17,538.54/x
  3. Step 3: Cross multiply
    32,442.54x = 44,770.78 × 17,538.54
  4. Step 4: Simplify right side
    32,442.54x = 785,214,115.86
  5. Step 5: Solve for x
    x = 785,214,115.86/32,442.54
  6. Step 6: Final answer
    x = 24,203.23

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1.5x scale

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.