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Finding the Fourth Proportional to 65,411.63, 98,132.07 and 23,858.63

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Solution

The fourth proportional to 65,411.63, 98,132.07 and 23,858.63 is: 35,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,411.63 : 98,132.07 = 23,858.63 : x
  2. Step 2: Convert to fraction form
    65,411.63/98,132.07 = 23,858.63/x
  3. Step 3: Cross multiply
    65,411.63x = 98,132.07 × 23,858.63
  4. Step 4: Simplify right side
    65,411.63x = 2,341,296,258.60
  5. Step 5: Solve for x
    x = 2,341,296,258.60/65,411.63
  6. Step 6: Final answer
    x = 35,793.27

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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.