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Finding the Fourth Proportional to 122,735.16, 184,102.71 and 33,988.65

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Solution

The fourth proportional to 122,735.16, 184,102.71 and 33,988.65 is: 50,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,735.16 : 184,102.71 = 33,988.65 : x
  2. Step 2: Convert to fraction form
    122,735.16/184,102.71 = 33,988.65/x
  3. Step 3: Cross multiply
    122,735.16x = 184,102.71 × 33,988.65
  4. Step 4: Simplify right side
    122,735.16x = 6,257,402,574.24
  5. Step 5: Solve for x
    x = 6,257,402,574.24/122,735.16
  6. Step 6: Final answer
    x = 50,982.97

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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.