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Finding the Fourth Proportional to 82,692.39, 114,112.80 and 46,391.64

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Solution

The fourth proportional to 82,692.39, 114,112.80 and 46,391.64 is: 64,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,692.39 : 114,112.80 = 46,391.64 : x
  2. Step 2: Convert to fraction form
    82,692.39/114,112.80 = 46,391.64/x
  3. Step 3: Cross multiply
    82,692.39x = 114,112.80 × 46,391.64
  4. Step 4: Simplify right side
    82,692.39x = 5,293,879,936.99
  5. Step 5: Solve for x
    x = 5,293,879,936.99/82,692.39
  6. Step 6: Final answer
    x = 64,018.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.