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Finding the Fourth Proportional to 65,491.50, 98,237.26 and 23,938.50

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Solution

The fourth proportional to 65,491.50, 98,237.26 and 23,938.50 is: 35,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,491.50 : 98,237.26 = 23,938.50 : x
  2. Step 2: Convert to fraction form
    65,491.50/98,237.26 = 23,938.50/x
  3. Step 3: Cross multiply
    65,491.50x = 98,237.26 × 23,938.50
  4. Step 4: Simplify right side
    65,491.50x = 2,351,652,648.51
  5. Step 5: Solve for x
    x = 2,351,652,648.51/65,491.50
  6. Step 6: Final answer
    x = 35,907.75

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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.