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Finding the Fourth Proportional to 111,733.76, 167,564.80 and 49,402.88

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Solution

The fourth proportional to 111,733.76, 167,564.80 and 49,402.88 is: 74,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,733.76 : 167,564.80 = 49,402.88 : x
  2. Step 2: Convert to fraction form
    111,733.76/167,564.80 = 49,402.88/x
  3. Step 3: Cross multiply
    111,733.76x = 167,564.80 × 49,402.88
  4. Step 4: Simplify right side
    111,733.76x = 8,278,183,706.62
  5. Step 5: Solve for x
    x = 8,278,183,706.62/111,733.76
  6. Step 6: Final answer
    x = 74,088.47

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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.