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Finding the Fourth Proportional to 106,842.47, 160,272.14 and 35,765.54

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Solution

The fourth proportional to 106,842.47, 160,272.14 and 35,765.54 is: 53,651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842.47 : 160,272.14 = 35,765.54 : x
  2. Step 2: Convert to fraction form
    106,842.47/160,272.14 = 35,765.54/x
  3. Step 3: Cross multiply
    106,842.47x = 160,272.14 × 35,765.54
  4. Step 4: Simplify right side
    106,842.47x = 5,732,218,653.87
  5. Step 5: Solve for x
    x = 5,732,218,653.87/106,842.47
  6. Step 6: Final answer
    x = 53,651.13

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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.