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Finding the Fourth Proportional to 106,078.74, 159,028.74 and 46,062.06

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Solution

The fourth proportional to 106,078.74, 159,028.74 and 46,062.06 is: 69,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,078.74 : 159,028.74 = 46,062.06 : x
  2. Step 2: Convert to fraction form
    106,078.74/159,028.74 = 46,062.06/x
  3. Step 3: Cross multiply
    106,078.74x = 159,028.74 × 46,062.06
  4. Step 4: Simplify right side
    106,078.74x = 7,325,191,363.60
  5. Step 5: Solve for x
    x = 7,325,191,363.60/106,078.74
  6. Step 6: Final answer
    x = 69,054.28

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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.