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Finding the Fourth Proportional to 106,004.54, 159,035.51 and 35,883.86

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Solution

The fourth proportional to 106,004.54, 159,035.51 and 35,883.86 is: 53,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,004.54 : 159,035.51 = 35,883.86 : x
  2. Step 2: Convert to fraction form
    106,004.54/159,035.51 = 35,883.86/x
  3. Step 3: Cross multiply
    106,004.54x = 159,035.51 × 35,883.86
  4. Step 4: Simplify right side
    106,004.54x = 5,706,807,270.40
  5. Step 5: Solve for x
    x = 5,706,807,270.40/106,004.54
  6. Step 6: Final answer
    x = 53,835.50

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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.