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Finding the Fourth Proportional to 65,619.64, 98,418.93 and 23,491.90

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Solution

The fourth proportional to 65,619.64, 98,418.93 and 23,491.90 is: 35,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,619.64 : 98,418.93 = 23,491.90 : x
  2. Step 2: Convert to fraction form
    65,619.64/98,418.93 = 23,491.90/x
  3. Step 3: Cross multiply
    65,619.64x = 98,418.93 × 23,491.90
  4. Step 4: Simplify right side
    65,619.64x = 2,312,047,661.67
  5. Step 5: Solve for x
    x = 2,312,047,661.67/65,619.64
  6. Step 6: Final answer
    x = 35,234.08

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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.