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Finding the Fourth Proportional to 107,033.91, 160,538.54 and 35,953.67

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Solution

The fourth proportional to 107,033.91, 160,538.54 and 35,953.67 is: 53,926.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,033.91 : 160,538.54 = 35,953.67 : x
  2. Step 2: Convert to fraction form
    107,033.91/160,538.54 = 35,953.67/x
  3. Step 3: Cross multiply
    107,033.91x = 160,538.54 × 35,953.67
  4. Step 4: Simplify right side
    107,033.91x = 5,771,948,706.98
  5. Step 5: Solve for x
    x = 5,771,948,706.98/107,033.91
  6. Step 6: Final answer
    x = 53,926.36

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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.