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Finding the Fourth Proportional to 82,706.24, 114,028.08 and 60,078.08

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Solution

The fourth proportional to 82,706.24, 114,028.08 and 60,078.08 is: 82,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.24 : 114,028.08 = 60,078.08 : x
  2. Step 2: Convert to fraction form
    82,706.24/114,028.08 = 60,078.08/x
  3. Step 3: Cross multiply
    82,706.24x = 114,028.08 × 60,078.08
  4. Step 4: Simplify right side
    82,706.24x = 6,850,588,112.49
  5. Step 5: Solve for x
    x = 6,850,588,112.49/82,706.24
  6. Step 6: Final answer
    x = 82,830.37

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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.