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Finding the Fourth Proportional to 114,331.14, 171,496.78 and 47,734.98

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Solution

The fourth proportional to 114,331.14, 171,496.78 and 47,734.98 is: 71,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,331.14 : 171,496.78 = 47,734.98 : x
  2. Step 2: Convert to fraction form
    114,331.14/171,496.78 = 47,734.98/x
  3. Step 3: Cross multiply
    114,331.14x = 171,496.78 × 47,734.98
  4. Step 4: Simplify right side
    114,331.14x = 8,186,395,363.36
  5. Step 5: Solve for x
    x = 8,186,395,363.36/114,331.14
  6. Step 6: Final answer
    x = 71,602.50

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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.