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Finding the Fourth Proportional to 65,667, 98,554.26 and 45,985.08

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Solution

The fourth proportional to 65,667, 98,554.26 and 45,985.08 is: 69,015.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,667 : 98,554.26 = 45,985.08 : x
  2. Step 2: Convert to fraction form
    65,667/98,554.26 = 45,985.08/x
  3. Step 3: Cross multiply
    65,667x = 98,554.26 × 45,985.08
  4. Step 4: Simplify right side
    65,667x = 4,532,025,530.44
  5. Step 5: Solve for x
    x = 4,532,025,530.44/65,667
  6. Step 6: Final answer
    x = 69,015.27

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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.