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Finding the Fourth Proportional to 103,866.46, 155,813.26 and 37,314.02

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Solution

The fourth proportional to 103,866.46, 155,813.26 and 37,314.02 is: 55,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866.46 : 155,813.26 = 37,314.02 : x
  2. Step 2: Convert to fraction form
    103,866.46/155,813.26 = 37,314.02/x
  3. Step 3: Cross multiply
    103,866.46x = 155,813.26 × 37,314.02
  4. Step 4: Simplify right side
    103,866.46x = 5,814,019,099.91
  5. Step 5: Solve for x
    x = 5,814,019,099.91/103,866.46
  6. Step 6: Final answer
    x = 55,975.91

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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.