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Finding the Fourth Proportional to 122,702.10, 184,057.25 and 33,948.17

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Solution

The fourth proportional to 122,702.10, 184,057.25 and 33,948.17 is: 50,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,702.10 : 184,057.25 = 33,948.17 : x
  2. Step 2: Convert to fraction form
    122,702.10/184,057.25 = 33,948.17/x
  3. Step 3: Cross multiply
    122,702.10x = 184,057.25 × 33,948.17
  4. Step 4: Simplify right side
    122,702.10x = 6,248,406,642.99
  5. Step 5: Solve for x
    x = 6,248,406,642.99/122,702.10
  6. Step 6: Final answer
    x = 50,923.39

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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.