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Finding the Fourth Proportional to 101,014.08, 151,506.50 and 30,874.56

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Solution

The fourth proportional to 101,014.08, 151,506.50 and 30,874.56 is: 46,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,014.08 : 151,506.50 = 30,874.56 : x
  2. Step 2: Convert to fraction form
    101,014.08/151,506.50 = 30,874.56/x
  3. Step 3: Cross multiply
    101,014.08x = 151,506.50 × 30,874.56
  4. Step 4: Simplify right side
    101,014.08x = 4,677,696,524.64
  5. Step 5: Solve for x
    x = 4,677,696,524.64/101,014.08
  6. Step 6: Final answer
    x = 46,307.37

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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.