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Finding the Fourth Proportional to 65,409.63, 98,129.06 and 23,856.63

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Solution

The fourth proportional to 65,409.63, 98,129.06 and 23,856.63 is: 35,790.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.63 : 98,129.06 = 23,856.63 : x
  2. Step 2: Convert to fraction form
    65,409.63/98,129.06 = 23,856.63/x
  3. Step 3: Cross multiply
    65,409.63x = 98,129.06 × 23,856.63
  4. Step 4: Simplify right side
    65,409.63x = 2,341,028,676.67
  5. Step 5: Solve for x
    x = 2,341,028,676.67/65,409.63
  6. Step 6: Final answer
    x = 35,790.28

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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.