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Finding the Fourth Proportional to 32,853.40, 49,287.30 and 16,221.40

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Solution

The fourth proportional to 32,853.40, 49,287.30 and 16,221.40 is: 24,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.40 : 49,287.30 = 16,221.40 : x
  2. Step 2: Convert to fraction form
    32,853.40/49,287.30 = 16,221.40/x
  3. Step 3: Cross multiply
    32,853.40x = 49,287.30 × 16,221.40
  4. Step 4: Simplify right side
    32,853.40x = 799,509,008.22
  5. Step 5: Solve for x
    x = 799,509,008.22/32,853.40
  6. Step 6: Final answer
    x = 24,335.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.