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Finding the Fourth Proportional to 103,946.41, 155,797.37 and 46,953.79

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Solution

The fourth proportional to 103,946.41, 155,797.37 and 46,953.79 is: 70,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,946.41 : 155,797.37 = 46,953.79 : x
  2. Step 2: Convert to fraction form
    103,946.41/155,797.37 = 46,953.79/x
  3. Step 3: Cross multiply
    103,946.41x = 155,797.37 × 46,953.79
  4. Step 4: Simplify right side
    103,946.41x = 7,315,276,993.53
  5. Step 5: Solve for x
    x = 7,315,276,993.53/103,946.41
  6. Step 6: Final answer
    x = 70,375.47

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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.