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Finding the Fourth Proportional to 65,233.46, 97,850.20 and 15,985.46

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Solution

The fourth proportional to 65,233.46, 97,850.20 and 15,985.46 is: 23,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.46 : 97,850.20 = 15,985.46 : x
  2. Step 2: Convert to fraction form
    65,233.46/97,850.20 = 15,985.46/x
  3. Step 3: Cross multiply
    65,233.46x = 97,850.20 × 15,985.46
  4. Step 4: Simplify right side
    65,233.46x = 1,564,180,458.09
  5. Step 5: Solve for x
    x = 1,564,180,458.09/65,233.46
  6. Step 6: Final answer
    x = 23,978.19

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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.