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Finding the Fourth Proportional to 32,883.76, 49,373.70 and 20,367.64

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Solution

The fourth proportional to 32,883.76, 49,373.70 and 20,367.64 is: 30,581.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.76 : 49,373.70 = 20,367.64 : x
  2. Step 2: Convert to fraction form
    32,883.76/49,373.70 = 20,367.64/x
  3. Step 3: Cross multiply
    32,883.76x = 49,373.70 × 20,367.64
  4. Step 4: Simplify right side
    32,883.76x = 1,005,625,747.07
  5. Step 5: Solve for x
    x = 1,005,625,747.07/32,883.76
  6. Step 6: Final answer
    x = 30,581.23

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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.