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Finding the Fourth Proportional to 65,803.44, 98,748.90 and 30,745.84

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Solution

The fourth proportional to 65,803.44, 98,748.90 and 30,745.84 is: 46,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,803.44 : 98,748.90 = 30,745.84 : x
  2. Step 2: Convert to fraction form
    65,803.44/98,748.90 = 30,745.84/x
  3. Step 3: Cross multiply
    65,803.44x = 98,748.90 × 30,745.84
  4. Step 4: Simplify right side
    65,803.44x = 3,036,117,879.58
  5. Step 5: Solve for x
    x = 3,036,117,879.58/65,803.44
  6. Step 6: Final answer
    x = 46,139.20

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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.