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Finding the Fourth Proportional to 65,075.20, 89,803.20 and 36,780.80

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Solution

The fourth proportional to 65,075.20, 89,803.20 and 36,780.80 is: 50,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,075.20 : 89,803.20 = 36,780.80 : x
  2. Step 2: Convert to fraction form
    65,075.20/89,803.20 = 36,780.80/x
  3. Step 3: Cross multiply
    65,075.20x = 89,803.20 × 36,780.80
  4. Step 4: Simplify right side
    65,075.20x = 3,303,033,538.56
  5. Step 5: Solve for x
    x = 3,303,033,538.56/65,075.20
  6. Step 6: Final answer
    x = 50,757.18

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1.5x scale

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.