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Finding the Fourth Proportional to 114,311.40, 171,494.10 and 47,714.52

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Solution

The fourth proportional to 114,311.40, 171,494.10 and 47,714.52 is: 71,583.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,311.40 : 171,494.10 = 47,714.52 : x
  2. Step 2: Convert to fraction form
    114,311.40/171,494.10 = 47,714.52/x
  3. Step 3: Cross multiply
    114,311.40x = 171,494.10 × 47,714.52
  4. Step 4: Simplify right side
    114,311.40x = 8,182,758,664.33
  5. Step 5: Solve for x
    x = 8,182,758,664.33/114,311.40
  6. Step 6: Final answer
    x = 71,583.05

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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.