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Finding the Fourth Proportional to 65,109.60, 97,669.80 and 20,735.10

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Solution

The fourth proportional to 65,109.60, 97,669.80 and 20,735.10 is: 31,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,109.60 : 97,669.80 = 20,735.10 : x
  2. Step 2: Convert to fraction form
    65,109.60/97,669.80 = 20,735.10/x
  3. Step 3: Cross multiply
    65,109.60x = 97,669.80 × 20,735.10
  4. Step 4: Simplify right side
    65,109.60x = 2,025,193,069.98
  5. Step 5: Solve for x
    x = 2,025,193,069.98/65,109.60
  6. Step 6: Final answer
    x = 31,104.37

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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.