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Finding the Fourth Proportional to 70,734.12, 106,078.50 and 66,075

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Solution

The fourth proportional to 70,734.12, 106,078.50 and 66,075 is: 99,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734.12 : 106,078.50 = 66,075 : x
  2. Step 2: Convert to fraction form
    70,734.12/106,078.50 = 66,075/x
  3. Step 3: Cross multiply
    70,734.12x = 106,078.50 × 66,075
  4. Step 4: Simplify right side
    70,734.12x = 7,009,136,887.50
  5. Step 5: Solve for x
    x = 7,009,136,887.50/70,734.12
  6. Step 6: Final answer
    x = 99,091.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.