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Finding the Fourth Proportional to 101,017.08, 151,511 and 30,877.56

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Solution

The fourth proportional to 101,017.08, 151,511 and 30,877.56 is: 46,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,017.08 : 151,511 = 30,877.56 : x
  2. Step 2: Convert to fraction form
    101,017.08/151,511 = 30,877.56/x
  3. Step 3: Cross multiply
    101,017.08x = 151,511 × 30,877.56
  4. Step 4: Simplify right side
    101,017.08x = 4,678,289,993.16
  5. Step 5: Solve for x
    x = 4,678,289,993.16/101,017.08
  6. Step 6: Final answer
    x = 46,311.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.