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Finding the Fourth Proportional to 33,023, 49,534.91 and 12,246.50

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Solution

The fourth proportional to 33,023, 49,534.91 and 12,246.50 is: 18,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,023 : 49,534.91 = 12,246.50 : x
  2. Step 2: Convert to fraction form
    33,023/49,534.91 = 12,246.50/x
  3. Step 3: Cross multiply
    33,023x = 49,534.91 × 12,246.50
  4. Step 4: Simplify right side
    33,023x = 606,629,275.32
  5. Step 5: Solve for x
    x = 606,629,275.32/33,023
  6. Step 6: Final answer
    x = 18,369.90

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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.