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Finding the Fourth Proportional to 51,706.39, 77,566.88 and 18,416.61

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Solution

The fourth proportional to 51,706.39, 77,566.88 and 18,416.61 is: 27,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,706.39 : 77,566.88 = 18,416.61 : x
  2. Step 2: Convert to fraction form
    51,706.39/77,566.88 = 18,416.61/x
  3. Step 3: Cross multiply
    51,706.39x = 77,566.88 × 18,416.61
  4. Step 4: Simplify right side
    51,706.39x = 1,428,518,497.96
  5. Step 5: Solve for x
    x = 1,428,518,497.96/51,706.39
  6. Step 6: Final answer
    x = 27,627.50

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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.