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Finding the Fourth Proportional to 114,051.61, 171,106.58 and 47,469.61

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Solution

The fourth proportional to 114,051.61, 171,106.58 and 47,469.61 is: 71,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,051.61 : 171,106.58 = 47,469.61 : x
  2. Step 2: Convert to fraction form
    114,051.61/171,106.58 = 47,469.61/x
  3. Step 3: Cross multiply
    114,051.61x = 171,106.58 × 47,469.61
  4. Step 4: Simplify right side
    114,051.61x = 8,122,362,621.03
  5. Step 5: Solve for x
    x = 8,122,362,621.03/114,051.61
  6. Step 6: Final answer
    x = 71,216.55

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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.