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Finding the Fourth Proportional to 106,717.56, 160,093.71 and 49,848.32

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Solution

The fourth proportional to 106,717.56, 160,093.71 and 49,848.32 is: 74,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,717.56 : 160,093.71 = 49,848.32 : x
  2. Step 2: Convert to fraction form
    106,717.56/160,093.71 = 49,848.32/x
  3. Step 3: Cross multiply
    106,717.56x = 160,093.71 × 49,848.32
  4. Step 4: Simplify right side
    106,717.56x = 7,980,401,685.60
  5. Step 5: Solve for x
    x = 7,980,401,685.60/106,717.56
  6. Step 6: Final answer
    x = 74,780.59

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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.