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Finding the Fourth Proportional to 33,172.50, 49,780.62 and 12,396

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Solution

The fourth proportional to 33,172.50, 49,780.62 and 12,396 is: 18,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,172.50 : 49,780.62 = 12,396 : x
  2. Step 2: Convert to fraction form
    33,172.50/49,780.62 = 12,396/x
  3. Step 3: Cross multiply
    33,172.50x = 49,780.62 × 12,396
  4. Step 4: Simplify right side
    33,172.50x = 617,080,565.52
  5. Step 5: Solve for x
    x = 617,080,565.52/33,172.50
  6. Step 6: Final answer
    x = 18,602.17

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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.