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Finding the Fourth Proportional to 76,485.89, 114,599.39 and 46,841.82

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Solution

The fourth proportional to 76,485.89, 114,599.39 and 46,841.82 is: 70,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,485.89 : 114,599.39 = 46,841.82 : x
  2. Step 2: Convert to fraction form
    76,485.89/114,599.39 = 46,841.82/x
  3. Step 3: Cross multiply
    76,485.89x = 114,599.39 × 46,841.82
  4. Step 4: Simplify right side
    76,485.89x = 5,368,043,998.49
  5. Step 5: Solve for x
    x = 5,368,043,998.49/76,485.89
  6. Step 6: Final answer
    x = 70,183.45

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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.