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Finding the Fourth Proportional to 84,834, 117,075.78 and 47,110.68

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Solution

The fourth proportional to 84,834, 117,075.78 and 47,110.68 is: 65,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,834 : 117,075.78 = 47,110.68 : x
  2. Step 2: Convert to fraction form
    84,834/117,075.78 = 47,110.68/x
  3. Step 3: Cross multiply
    84,834x = 117,075.78 × 47,110.68
  4. Step 4: Simplify right side
    84,834x = 5,515,519,607.33
  5. Step 5: Solve for x
    x = 5,515,519,607.33/84,834
  6. Step 6: Final answer
    x = 65,015.44

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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.