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Finding the Fourth Proportional to 71,816.50, 107,707.45 and 31,813.37

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Solution

The fourth proportional to 71,816.50, 107,707.45 and 31,813.37 is: 47,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.50 : 107,707.45 = 31,813.37 : x
  2. Step 2: Convert to fraction form
    71,816.50/107,707.45 = 31,813.37/x
  3. Step 3: Cross multiply
    71,816.50x = 107,707.45 × 31,813.37
  4. Step 4: Simplify right side
    71,816.50x = 3,426,537,067.40
  5. Step 5: Solve for x
    x = 3,426,537,067.40/71,816.50
  6. Step 6: Final answer
    x = 47,712.39

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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.