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Finding the Fourth Proportional to 122,386.80, 183,559 and 33,619.16

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Solution

The fourth proportional to 122,386.80, 183,559 and 33,619.16 is: 50,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,386.80 : 183,559 = 33,619.16 : x
  2. Step 2: Convert to fraction form
    122,386.80/183,559 = 33,619.16/x
  3. Step 3: Cross multiply
    122,386.80x = 183,559 × 33,619.16
  4. Step 4: Simplify right side
    122,386.80x = 6,171,099,390.44
  5. Step 5: Solve for x
    x = 6,171,099,390.44/122,386.80
  6. Step 6: Final answer
    x = 50,422.92

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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.