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Finding the Fourth Proportional to 65,894.23, 98,826.53 and 30,321.43

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Solution

The fourth proportional to 65,894.23, 98,826.53 and 30,321.43 is: 45,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,894.23 : 98,826.53 = 30,321.43 : x
  2. Step 2: Convert to fraction form
    65,894.23/98,826.53 = 30,321.43/x
  3. Step 3: Cross multiply
    65,894.23x = 98,826.53 × 30,321.43
  4. Step 4: Simplify right side
    65,894.23x = 2,996,561,312.86
  5. Step 5: Solve for x
    x = 2,996,561,312.86/65,894.23
  6. Step 6: Final answer
    x = 45,475.32

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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.