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Finding the Fourth Proportional to 106,585.73, 159,784.51 and 43,458.65

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Solution

The fourth proportional to 106,585.73, 159,784.51 and 43,458.65 is: 65,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.73 : 159,784.51 = 43,458.65 : x
  2. Step 2: Convert to fraction form
    106,585.73/159,784.51 = 43,458.65/x
  3. Step 3: Cross multiply
    106,585.73x = 159,784.51 × 43,458.65
  4. Step 4: Simplify right side
    106,585.73x = 6,944,019,095.51
  5. Step 5: Solve for x
    x = 6,944,019,095.51/106,585.73
  6. Step 6: Final answer
    x = 65,149.61

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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.