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Finding the Fourth Proportional to 60,356.98, 90,583.31 and 31,914.14

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Solution

The fourth proportional to 60,356.98, 90,583.31 and 31,914.14 is: 47,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,356.98 : 90,583.31 = 31,914.14 : x
  2. Step 2: Convert to fraction form
    60,356.98/90,583.31 = 31,914.14/x
  3. Step 3: Cross multiply
    60,356.98x = 90,583.31 × 31,914.14
  4. Step 4: Simplify right side
    60,356.98x = 2,890,888,063.87
  5. Step 5: Solve for x
    x = 2,890,888,063.87/60,356.98
  6. Step 6: Final answer
    x = 47,896.50

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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.