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Finding the Fourth Proportional to 114,454.98, 171,651.24 and 47,884.32

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Solution

The fourth proportional to 114,454.98, 171,651.24 and 47,884.32 is: 71,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,454.98 : 171,651.24 = 47,884.32 : x
  2. Step 2: Convert to fraction form
    114,454.98/171,651.24 = 47,884.32/x
  3. Step 3: Cross multiply
    114,454.98x = 171,651.24 × 47,884.32
  4. Step 4: Simplify right side
    114,454.98x = 8,219,402,904.56
  5. Step 5: Solve for x
    x = 8,219,402,904.56/114,454.98
  6. Step 6: Final answer
    x = 71,813.41

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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.