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Finding the Fourth Proportional to 101,970.28, 152,958.43 and 48,667.87

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Solution

The fourth proportional to 101,970.28, 152,958.43 and 48,667.87 is: 73,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.28 : 152,958.43 = 48,667.87 : x
  2. Step 2: Convert to fraction form
    101,970.28/152,958.43 = 48,667.87/x
  3. Step 3: Cross multiply
    101,970.28x = 152,958.43 × 48,667.87
  4. Step 4: Simplify right side
    101,970.28x = 7,444,161,238.68
  5. Step 5: Solve for x
    x = 7,444,161,238.68/101,970.28
  6. Step 6: Final answer
    x = 73,003.24

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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.