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Finding the Fourth Proportional to 65,168.63, 97,754.66 and 20,795.35

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Solution

The fourth proportional to 65,168.63, 97,754.66 and 20,795.35 is: 31,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,168.63 : 97,754.66 = 20,795.35 : x
  2. Step 2: Convert to fraction form
    65,168.63/97,754.66 = 20,795.35/x
  3. Step 3: Cross multiply
    65,168.63x = 97,754.66 × 20,795.35
  4. Step 4: Simplify right side
    65,168.63x = 2,032,842,098.45
  5. Step 5: Solve for x
    x = 2,032,842,098.45/65,168.63
  6. Step 6: Final answer
    x = 31,193.57

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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.