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Finding the Fourth Proportional to 36,827.76, 50,823 and 21,932.40

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Solution

The fourth proportional to 36,827.76, 50,823 and 21,932.40 is: 30,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,827.76 : 50,823 = 21,932.40 : x
  2. Step 2: Convert to fraction form
    36,827.76/50,823 = 21,932.40/x
  3. Step 3: Cross multiply
    36,827.76x = 50,823 × 21,932.40
  4. Step 4: Simplify right side
    36,827.76x = 1,114,670,365.20
  5. Step 5: Solve for x
    x = 1,114,670,365.20/36,827.76
  6. Step 6: Final answer
    x = 30,267.12

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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.