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Finding the Fourth Proportional to 127,033.68, 190,558.62 and 33,537

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Solution

The fourth proportional to 127,033.68, 190,558.62 and 33,537 is: 50,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,033.68 : 190,558.62 = 33,537 : x
  2. Step 2: Convert to fraction form
    127,033.68/190,558.62 = 33,537/x
  3. Step 3: Cross multiply
    127,033.68x = 190,558.62 × 33,537
  4. Step 4: Simplify right side
    127,033.68x = 6,390,764,438.94
  5. Step 5: Solve for x
    x = 6,390,764,438.94/127,033.68
  6. Step 6: Final answer
    x = 50,307.64

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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.