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Finding the Fourth Proportional to 65,075.20, 97,510.40 and 33,863.68

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Solution

The fourth proportional to 65,075.20, 97,510.40 and 33,863.68 is: 50,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075.20 : 97,510.40 = 33,863.68 : x
  2. Step 2: Convert to fraction form
    65,075.20/97,510.40 = 33,863.68/x
  3. Step 3: Cross multiply
    65,075.20x = 97,510.40 × 33,863.68
  4. Step 4: Simplify right side
    65,075.20x = 3,302,060,982.27
  5. Step 5: Solve for x
    x = 3,302,060,982.27/65,075.20
  6. Step 6: Final answer
    x = 50,742.23

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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.