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Finding the Fourth Proportional to 117,007.94, 175,538.31 and 37,050.75

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Solution

The fourth proportional to 117,007.94, 175,538.31 and 37,050.75 is: 55,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007.94 : 175,538.31 = 37,050.75 : x
  2. Step 2: Convert to fraction form
    117,007.94/175,538.31 = 37,050.75/x
  3. Step 3: Cross multiply
    117,007.94x = 175,538.31 × 37,050.75
  4. Step 4: Simplify right side
    117,007.94x = 6,503,826,039.23
  5. Step 5: Solve for x
    x = 6,503,826,039.23/117,007.94
  6. Step 6: Final answer
    x = 55,584.49

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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.