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Finding the Fourth Proportional to 103,709.94, 155,597.19 and 37,150.64

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Solution

The fourth proportional to 103,709.94, 155,597.19 and 37,150.64 is: 55,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,709.94 : 155,597.19 = 37,150.64 : x
  2. Step 2: Convert to fraction form
    103,709.94/155,597.19 = 37,150.64/x
  3. Step 3: Cross multiply
    103,709.94x = 155,597.19 × 37,150.64
  4. Step 4: Simplify right side
    103,709.94x = 5,780,535,190.70
  5. Step 5: Solve for x
    x = 5,780,535,190.70/103,709.94
  6. Step 6: Final answer
    x = 55,737.52

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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.