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Finding the Fourth Proportional to 114,466.40, 171,696.90 and 31,360.40

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Solution

The fourth proportional to 114,466.40, 171,696.90 and 31,360.40 is: 47,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,466.40 : 171,696.90 = 31,360.40 : x
  2. Step 2: Convert to fraction form
    114,466.40/171,696.90 = 31,360.40/x
  3. Step 3: Cross multiply
    114,466.40x = 171,696.90 × 31,360.40
  4. Step 4: Simplify right side
    114,466.40x = 5,384,483,462.76
  5. Step 5: Solve for x
    x = 5,384,483,462.76/114,466.40
  6. Step 6: Final answer
    x = 47,039.86

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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.