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Finding the Fourth Proportional to 32,048.67, 44,224 and 18,620.49

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Solution

The fourth proportional to 32,048.67, 44,224 and 18,620.49 is: 25,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.67 : 44,224 = 18,620.49 : x
  2. Step 2: Convert to fraction form
    32,048.67/44,224 = 18,620.49/x
  3. Step 3: Cross multiply
    32,048.67x = 44,224 × 18,620.49
  4. Step 4: Simplify right side
    32,048.67x = 823,472,549.76
  5. Step 5: Solve for x
    x = 823,472,549.76/32,048.67
  6. Step 6: Final answer
    x = 25,694.44

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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.