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Finding the Fourth Proportional to 106,001, 159,074.40 and 43,671.50

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Solution

The fourth proportional to 106,001, 159,074.40 and 43,671.50 is: 65,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,001 : 159,074.40 = 43,671.50 : x
  2. Step 2: Convert to fraction form
    106,001/159,074.40 = 43,671.50/x
  3. Step 3: Cross multiply
    106,001x = 159,074.40 × 43,671.50
  4. Step 4: Simplify right side
    106,001x = 6,947,017,659.60
  5. Step 5: Solve for x
    x = 6,947,017,659.60/106,001
  6. Step 6: Final answer
    x = 65,537.28

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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.