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Finding the Fourth Proportional to 122,633.94, 183,851.70 and 38,350.74

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Solution

The fourth proportional to 122,633.94, 183,851.70 and 38,350.74 is: 57,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,633.94 : 183,851.70 = 38,350.74 : x
  2. Step 2: Convert to fraction form
    122,633.94/183,851.70 = 38,350.74/x
  3. Step 3: Cross multiply
    122,633.94x = 183,851.70 × 38,350.74
  4. Step 4: Simplify right side
    122,633.94x = 7,050,848,745.26
  5. Step 5: Solve for x
    x = 7,050,848,745.26/122,633.94
  6. Step 6: Final answer
    x = 57,495.08

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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.