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Finding the Fourth Proportional to 32,446.31, 44,775.92 and 17,542.31

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Solution

The fourth proportional to 32,446.31, 44,775.92 and 17,542.31 is: 24,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.31 : 44,775.92 = 17,542.31 : x
  2. Step 2: Convert to fraction form
    32,446.31/44,775.92 = 17,542.31/x
  3. Step 3: Cross multiply
    32,446.31x = 44,775.92 × 17,542.31
  4. Step 4: Simplify right side
    32,446.31x = 785,473,093.40
  5. Step 5: Solve for x
    x = 785,473,093.40/32,446.31
  6. Step 6: Final answer
    x = 24,208.39

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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.