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Finding the Fourth Proportional to 78,174.70, 117,267.48 and 31,427.50

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Solution

The fourth proportional to 78,174.70, 117,267.48 and 31,427.50 is: 47,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174.70 : 117,267.48 = 31,427.50 : x
  2. Step 2: Convert to fraction form
    78,174.70/117,267.48 = 31,427.50/x
  3. Step 3: Cross multiply
    78,174.70x = 117,267.48 × 31,427.50
  4. Step 4: Simplify right side
    78,174.70x = 3,685,423,727.70
  5. Step 5: Solve for x
    x = 3,685,423,727.70/78,174.70
  6. Step 6: Final answer
    x = 47,143.43

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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.