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Finding the Fourth Proportional to 33,307.64, 49,981.14 and 12,262.46

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Solution

The fourth proportional to 33,307.64, 49,981.14 and 12,262.46 is: 18,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,307.64 : 49,981.14 = 12,262.46 : x
  2. Step 2: Convert to fraction form
    33,307.64/49,981.14 = 12,262.46/x
  3. Step 3: Cross multiply
    33,307.64x = 49,981.14 × 12,262.46
  4. Step 4: Simplify right side
    33,307.64x = 612,891,730.00
  5. Step 5: Solve for x
    x = 612,891,730.00/33,307.64
  6. Step 6: Final answer
    x = 18,400.94

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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.