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Finding the Fourth Proportional to 82,765.63, 114,215.50 and 48,775.55

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Solution

The fourth proportional to 82,765.63, 114,215.50 and 48,775.55 is: 67,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.63 : 114,215.50 = 48,775.55 : x
  2. Step 2: Convert to fraction form
    82,765.63/114,215.50 = 48,775.55/x
  3. Step 3: Cross multiply
    82,765.63x = 114,215.50 × 48,775.55
  4. Step 4: Simplify right side
    82,765.63x = 5,570,923,963.38
  5. Step 5: Solve for x
    x = 5,570,923,963.38/82,765.63
  6. Step 6: Final answer
    x = 67,309.63

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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.