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Finding the Fourth Proportional to 65,075, 89,803.56 and 35,267

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Solution

The fourth proportional to 65,075, 89,803.56 and 35,267 is: 48,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075 : 89,803.56 = 35,267 : x
  2. Step 2: Convert to fraction form
    65,075/89,803.56 = 35,267/x
  3. Step 3: Cross multiply
    65,075x = 89,803.56 × 35,267
  4. Step 4: Simplify right side
    65,075x = 3,167,102,150.52
  5. Step 5: Solve for x
    x = 3,167,102,150.52/65,075
  6. Step 6: Final answer
    x = 48,668.49

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Why These Related Problems?

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