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Finding the Fourth Proportional to 82,938, 114,454.47 and 47,128.05

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Solution

The fourth proportional to 82,938, 114,454.47 and 47,128.05 is: 65,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938 : 114,454.47 = 47,128.05 : x
  2. Step 2: Convert to fraction form
    82,938/114,454.47 = 47,128.05/x
  3. Step 3: Cross multiply
    82,938x = 114,454.47 × 47,128.05
  4. Step 4: Simplify right side
    82,938x = 5,394,015,984.88
  5. Step 5: Solve for x
    x = 5,394,015,984.88/82,938
  6. Step 6: Final answer
    x = 65,036.73

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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.