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Finding the Fourth Proportional to 122,074.70, 183,113.87 and 37,833.89

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Solution

The fourth proportional to 122,074.70, 183,113.87 and 37,833.89 is: 56,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,074.70 : 183,113.87 = 37,833.89 : x
  2. Step 2: Convert to fraction form
    122,074.70/183,113.87 = 37,833.89/x
  3. Step 3: Cross multiply
    122,074.70x = 183,113.87 × 37,833.89
  4. Step 4: Simplify right side
    122,074.70x = 6,927,908,910.32
  5. Step 5: Solve for x
    x = 6,927,908,910.32/122,074.70
  6. Step 6: Final answer
    x = 56,751.39

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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.