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Finding the Fourth Proportional to 110,005.79, 165,078.10 and 46,825.81

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Solution

The fourth proportional to 110,005.79, 165,078.10 and 46,825.81 is: 70,268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,005.79 : 165,078.10 = 46,825.81 : x
  2. Step 2: Convert to fraction form
    110,005.79/165,078.10 = 46,825.81/x
  3. Step 3: Cross multiply
    110,005.79x = 165,078.10 × 46,825.81
  4. Step 4: Simplify right side
    110,005.79x = 7,729,915,745.76
  5. Step 5: Solve for x
    x = 7,729,915,745.76/110,005.79
  6. Step 6: Final answer
    x = 70,268.26

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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.