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Finding the Fourth Proportional to 65,146.50, 97,720.16 and 18,399.78

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Solution

The fourth proportional to 65,146.50, 97,720.16 and 18,399.78 is: 27,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.50 : 97,720.16 = 18,399.78 : x
  2. Step 2: Convert to fraction form
    65,146.50/97,720.16 = 18,399.78/x
  3. Step 3: Cross multiply
    65,146.50x = 97,720.16 × 18,399.78
  4. Step 4: Simplify right side
    65,146.50x = 1,798,029,353.57
  5. Step 5: Solve for x
    x = 1,798,029,353.57/65,146.50
  6. Step 6: Final answer
    x = 27,599.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.