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Finding the Fourth Proportional to 117,007.19, 175,537.19 and 37,050

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Solution

The fourth proportional to 117,007.19, 175,537.19 and 37,050 is: 55,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007.19 : 175,537.19 = 37,050 : x
  2. Step 2: Convert to fraction form
    117,007.19/175,537.19 = 37,050/x
  3. Step 3: Cross multiply
    117,007.19x = 175,537.19 × 37,050
  4. Step 4: Simplify right side
    117,007.19x = 6,503,652,704.25
  5. Step 5: Solve for x
    x = 6,503,652,704.25/117,007.19
  6. Step 6: Final answer
    x = 55,583.36

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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.