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Finding the Fourth Proportional to 131,734.48, 197,602.20 and 31,894.50

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Solution

The fourth proportional to 131,734.48, 197,602.20 and 31,894.50 is: 47,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,734.48 : 197,602.20 = 31,894.50 : x
  2. Step 2: Convert to fraction form
    131,734.48/197,602.20 = 31,894.50/x
  3. Step 3: Cross multiply
    131,734.48x = 197,602.20 × 31,894.50
  4. Step 4: Simplify right side
    131,734.48x = 6,302,423,367.90
  5. Step 5: Solve for x
    x = 6,302,423,367.90/131,734.48
  6. Step 6: Final answer
    x = 47,841.87

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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.