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Finding the Fourth Proportional to 105,616.36, 158,437.50 and 49,427.56

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Solution

The fourth proportional to 105,616.36, 158,437.50 and 49,427.56 is: 74,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.36 : 158,437.50 = 49,427.56 : x
  2. Step 2: Convert to fraction form
    105,616.36/158,437.50 = 49,427.56/x
  3. Step 3: Cross multiply
    105,616.36x = 158,437.50 × 49,427.56
  4. Step 4: Simplify right side
    105,616.36x = 7,831,179,037.50
  5. Step 5: Solve for x
    x = 7,831,179,037.50/105,616.36
  6. Step 6: Final answer
    x = 74,147.41

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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.