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Finding the Fourth Proportional to 101,516.22, 152,288.91 and 31,401

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Solution

The fourth proportional to 101,516.22, 152,288.91 and 31,401 is: 47,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,516.22 : 152,288.91 = 31,401 : x
  2. Step 2: Convert to fraction form
    101,516.22/152,288.91 = 31,401/x
  3. Step 3: Cross multiply
    101,516.22x = 152,288.91 × 31,401
  4. Step 4: Simplify right side
    101,516.22x = 4,782,024,062.91
  5. Step 5: Solve for x
    x = 4,782,024,062.91/101,516.22
  6. Step 6: Final answer
    x = 47,106.01

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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.