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Finding the Fourth Proportional to 114,516, 171,777.24 and 31,410

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Solution

The fourth proportional to 114,516, 171,777.24 and 31,410 is: 47,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,516 : 171,777.24 = 31,410 : x
  2. Step 2: Convert to fraction form
    114,516/171,777.24 = 31,410/x
  3. Step 3: Cross multiply
    114,516x = 171,777.24 × 31,410
  4. Step 4: Simplify right side
    114,516x = 5,395,523,108.40
  5. Step 5: Solve for x
    x = 5,395,523,108.40/114,516
  6. Step 6: Final answer
    x = 47,115.89

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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.