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Finding the Fourth Proportional to 78,153.56, 117,246.54 and 31,410.08

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Solution

The fourth proportional to 78,153.56, 117,246.54 and 31,410.08 is: 47,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,153.56 : 117,246.54 = 31,410.08 : x
  2. Step 2: Convert to fraction form
    78,153.56/117,246.54 = 31,410.08/x
  3. Step 3: Cross multiply
    78,153.56x = 117,246.54 × 31,410.08
  4. Step 4: Simplify right side
    78,153.56x = 3,682,723,201.12
  5. Step 5: Solve for x
    x = 3,682,723,201.12/78,153.56
  6. Step 6: Final answer
    x = 47,121.63

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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.