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Finding the Fourth Proportional to 65,803.56, 98,724.47 and 23,682.84

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Solution

The fourth proportional to 65,803.56, 98,724.47 and 23,682.84 is: 35,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,803.56 : 98,724.47 = 23,682.84 : x
  2. Step 2: Convert to fraction form
    65,803.56/98,724.47 = 23,682.84/x
  3. Step 3: Cross multiply
    65,803.56x = 98,724.47 × 23,682.84
  4. Step 4: Simplify right side
    65,803.56x = 2,338,075,708.68
  5. Step 5: Solve for x
    x = 2,338,075,708.68/65,803.56
  6. Step 6: Final answer
    x = 35,531.14

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1.5x scale

Why These Related Problems?

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