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Finding the Fourth Proportional to 32,205, 44,434.48 and 18,589.71

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Solution

The fourth proportional to 32,205, 44,434.48 and 18,589.71 is: 25,648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205 : 44,434.48 = 18,589.71 : x
  2. Step 2: Convert to fraction form
    32,205/44,434.48 = 18,589.71/x
  3. Step 3: Cross multiply
    32,205x = 44,434.48 × 18,589.71
  4. Step 4: Simplify right side
    32,205x = 826,024,004.25
  5. Step 5: Solve for x
    x = 826,024,004.25/32,205
  6. Step 6: Final answer
    x = 25,648.94

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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.