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Finding the Fourth Proportional to 35,075.77, 48,306.16 and 32,824.48

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Solution

The fourth proportional to 35,075.77, 48,306.16 and 32,824.48 is: 45,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,075.77 : 48,306.16 = 32,824.48 : x
  2. Step 2: Convert to fraction form
    35,075.77/48,306.16 = 32,824.48/x
  3. Step 3: Cross multiply
    35,075.77x = 48,306.16 × 32,824.48
  4. Step 4: Simplify right side
    35,075.77x = 1,585,624,685.95
  5. Step 5: Solve for x
    x = 1,585,624,685.95/35,075.77
  6. Step 6: Final answer
    x = 45,205.69

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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.