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Finding the Fourth Proportional to 65,716.60, 98,564.10 and 18,334.93

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Solution

The fourth proportional to 65,716.60, 98,564.10 and 18,334.93 is: 27,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.60 : 98,564.10 = 18,334.93 : x
  2. Step 2: Convert to fraction form
    65,716.60/98,564.10 = 18,334.93/x
  3. Step 3: Cross multiply
    65,716.60x = 98,564.10 × 18,334.93
  4. Step 4: Simplify right side
    65,716.60x = 1,807,165,874.01
  5. Step 5: Solve for x
    x = 1,807,165,874.01/65,716.60
  6. Step 6: Final answer
    x = 27,499.38

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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.