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Finding the Fourth Proportional to 32,205.86, 44,444.05 and 17,867.87

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Solution

The fourth proportional to 32,205.86, 44,444.05 and 17,867.87 is: 24,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.86 : 44,444.05 = 17,867.87 : x
  2. Step 2: Convert to fraction form
    32,205.86/44,444.05 = 17,867.87/x
  3. Step 3: Cross multiply
    32,205.86x = 44,444.05 × 17,867.87
  4. Step 4: Simplify right side
    32,205.86x = 794,120,285.45
  5. Step 5: Solve for x
    x = 794,120,285.45/32,205.86
  6. Step 6: Final answer
    x = 24,657.63

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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.