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Finding the Fourth Proportional to 65,293.63, 97,809.22 and 34,063.27

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Solution

The fourth proportional to 65,293.63, 97,809.22 and 34,063.27 is: 51,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293.63 : 97,809.22 = 34,063.27 : x
  2. Step 2: Convert to fraction form
    65,293.63/97,809.22 = 34,063.27/x
  3. Step 3: Cross multiply
    65,293.63x = 97,809.22 × 34,063.27
  4. Step 4: Simplify right side
    65,293.63x = 3,331,701,539.67
  5. Step 5: Solve for x
    x = 3,331,701,539.67/65,293.63
  6. Step 6: Final answer
    x = 51,026.44

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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.