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Finding the Fourth Proportional to 101,360.46, 152,048.75 and 30,277.88

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Solution

The fourth proportional to 101,360.46, 152,048.75 and 30,277.88 is: 45,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,360.46 : 152,048.75 = 30,277.88 : x
  2. Step 2: Convert to fraction form
    101,360.46/152,048.75 = 30,277.88/x
  3. Step 3: Cross multiply
    101,360.46x = 152,048.75 × 30,277.88
  4. Step 4: Simplify right side
    101,360.46x = 4,603,713,037.56
  5. Step 5: Solve for x
    x = 4,603,713,037.56/101,360.46
  6. Step 6: Final answer
    x = 45,419.22

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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.