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Finding the Fourth Proportional to 131,838.54, 197,756.13 and 31,999.50

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Solution

The fourth proportional to 131,838.54, 197,756.13 and 31,999.50 is: 47,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,838.54 : 197,756.13 = 31,999.50 : x
  2. Step 2: Convert to fraction form
    131,838.54/197,756.13 = 31,999.50/x
  3. Step 3: Cross multiply
    131,838.54x = 197,756.13 × 31,999.50
  4. Step 4: Simplify right side
    131,838.54x = 6,328,097,281.94
  5. Step 5: Solve for x
    x = 6,328,097,281.94/131,838.54
  6. Step 6: Final answer
    x = 47,998.84

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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.