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Finding the Fourth Proportional to 101,906.96, 152,903.64 and 49,355.60

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Solution

The fourth proportional to 101,906.96, 152,903.64 and 49,355.60 is: 74,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,906.96 : 152,903.64 = 49,355.60 : x
  2. Step 2: Convert to fraction form
    101,906.96/152,903.64 = 49,355.60/x
  3. Step 3: Cross multiply
    101,906.96x = 152,903.64 × 49,355.60
  4. Step 4: Simplify right side
    101,906.96x = 7,546,650,894.38
  5. Step 5: Solve for x
    x = 7,546,650,894.38/101,906.96
  6. Step 6: Final answer
    x = 74,054.32

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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.