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Finding the Fourth Proportional to 65,172.78, 89,938.38 and 35,364.78

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Solution

The fourth proportional to 65,172.78, 89,938.38 and 35,364.78 is: 48,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.78 : 89,938.38 = 35,364.78 : x
  2. Step 2: Convert to fraction form
    65,172.78/89,938.38 = 35,364.78/x
  3. Step 3: Cross multiply
    65,172.78x = 89,938.38 × 35,364.78
  4. Step 4: Simplify right side
    65,172.78x = 3,180,651,022.26
  5. Step 5: Solve for x
    x = 3,180,651,022.26/65,172.78
  6. Step 6: Final answer
    x = 48,803.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.