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Finding the Fourth Proportional to 82,675, 114,103.98 and 50,428.36

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Solution

The fourth proportional to 82,675, 114,103.98 and 50,428.36 is: 69,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,675 : 114,103.98 = 50,428.36 : x
  2. Step 2: Convert to fraction form
    82,675/114,103.98 = 50,428.36/x
  3. Step 3: Cross multiply
    82,675x = 114,103.98 × 50,428.36
  4. Step 4: Simplify right side
    82,675x = 5,754,076,580.87
  5. Step 5: Solve for x
    x = 5,754,076,580.87/82,675
  6. Step 6: Final answer
    x = 69,598.75

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