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Finding the Fourth Proportional to 78,826.05, 118,191.42 and 31,448.34

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Solution

The fourth proportional to 78,826.05, 118,191.42 and 31,448.34 is: 47,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826.05 : 118,191.42 = 31,448.34 : x
  2. Step 2: Convert to fraction form
    78,826.05/118,191.42 = 31,448.34/x
  3. Step 3: Cross multiply
    78,826.05x = 118,191.42 × 31,448.34
  4. Step 4: Simplify right side
    78,826.05x = 3,716,923,961.24
  5. Step 5: Solve for x
    x = 3,716,923,961.24/78,826.05
  6. Step 6: Final answer
    x = 47,153.50

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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.