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Finding the Fourth Proportional to 71,881.51, 107,835.08 and 24,493.98

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Solution

The fourth proportional to 71,881.51, 107,835.08 and 24,493.98 is: 36,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,881.51 : 107,835.08 = 24,493.98 : x
  2. Step 2: Convert to fraction form
    71,881.51/107,835.08 = 24,493.98/x
  3. Step 3: Cross multiply
    71,881.51x = 107,835.08 × 24,493.98
  4. Step 4: Simplify right side
    71,881.51x = 2,641,310,292.82
  5. Step 5: Solve for x
    x = 2,641,310,292.82/71,881.51
  6. Step 6: Final answer
    x = 36,745.34

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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.