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Finding the Fourth Proportional to 114,411.90, 171,599.49 and 31,286.46

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Solution

The fourth proportional to 114,411.90, 171,599.49 and 31,286.46 is: 46,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,411.90 : 171,599.49 = 31,286.46 : x
  2. Step 2: Convert to fraction form
    114,411.90/171,599.49 = 31,286.46/x
  3. Step 3: Cross multiply
    114,411.90x = 171,599.49 × 31,286.46
  4. Step 4: Simplify right side
    114,411.90x = 5,368,740,579.91
  5. Step 5: Solve for x
    x = 5,368,740,579.91/114,411.90
  6. Step 6: Final answer
    x = 46,924.67

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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.