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Finding the Fourth Proportional to 27,802.62, 41,706.66 and 8,075.88

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Solution

The fourth proportional to 27,802.62, 41,706.66 and 8,075.88 is: 12,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.62 : 41,706.66 = 8,075.88 : x
  2. Step 2: Convert to fraction form
    27,802.62/41,706.66 = 8,075.88/x
  3. Step 3: Cross multiply
    27,802.62x = 41,706.66 × 8,075.88
  4. Step 4: Simplify right side
    27,802.62x = 336,817,981.36
  5. Step 5: Solve for x
    x = 336,817,981.36/27,802.62
  6. Step 6: Final answer
    x = 12,114.61

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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.