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Finding the Fourth Proportional to 106,390.74, 159,531.72 and 35,287.71

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Solution

The fourth proportional to 106,390.74, 159,531.72 and 35,287.71 is: 52,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,390.74 : 159,531.72 = 35,287.71 : x
  2. Step 2: Convert to fraction form
    106,390.74/159,531.72 = 35,287.71/x
  3. Step 3: Cross multiply
    106,390.74x = 159,531.72 × 35,287.71
  4. Step 4: Simplify right side
    106,390.74x = 5,629,509,071.16
  5. Step 5: Solve for x
    x = 5,629,509,071.16/106,390.74
  6. Step 6: Final answer
    x = 52,913.52

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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.