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Finding the Fourth Proportional to 70,971.73, 106,439.42 and 21,040.16

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Solution

The fourth proportional to 70,971.73, 106,439.42 and 21,040.16 is: 31,554.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.73 : 106,439.42 = 21,040.16 : x
  2. Step 2: Convert to fraction form
    70,971.73/106,439.42 = 21,040.16/x
  3. Step 3: Cross multiply
    70,971.73x = 106,439.42 × 21,040.16
  4. Step 4: Simplify right side
    70,971.73x = 2,239,501,947.51
  5. Step 5: Solve for x
    x = 2,239,501,947.51/70,971.73
  6. Step 6: Final answer
    x = 31,554.85

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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.