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Finding the Fourth Proportional to 106,399.78, 159,603.01 and 39,827.19

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Solution

The fourth proportional to 106,399.78, 159,603.01 and 39,827.19 is: 59,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,399.78 : 159,603.01 = 39,827.19 : x
  2. Step 2: Convert to fraction form
    106,399.78/159,603.01 = 39,827.19/x
  3. Step 3: Cross multiply
    106,399.78x = 159,603.01 × 39,827.19
  4. Step 4: Simplify right side
    106,399.78x = 6,356,539,902.79
  5. Step 5: Solve for x
    x = 6,356,539,902.79/106,399.78
  6. Step 6: Final answer
    x = 59,742.04

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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.