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Finding the Fourth Proportional to 114,591.25, 171,956 and 48,927.25

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Solution

The fourth proportional to 114,591.25, 171,956 and 48,927.25 is: 73,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,591.25 : 171,956 = 48,927.25 : x
  2. Step 2: Convert to fraction form
    114,591.25/171,956 = 48,927.25/x
  3. Step 3: Cross multiply
    114,591.25x = 171,956 × 48,927.25
  4. Step 4: Simplify right side
    114,591.25x = 8,413,334,201
  5. Step 5: Solve for x
    x = 8,413,334,201/114,591.25
  6. Step 6: Final answer
    x = 73,420.39

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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.