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Finding the Fourth Proportional to 65,313.36, 97,955.16 and 18,554.64

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Solution

The fourth proportional to 65,313.36, 97,955.16 and 18,554.64 is: 27,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,313.36 : 97,955.16 = 18,554.64 : x
  2. Step 2: Convert to fraction form
    65,313.36/97,955.16 = 18,554.64/x
  3. Step 3: Cross multiply
    65,313.36x = 97,955.16 × 18,554.64
  4. Step 4: Simplify right side
    65,313.36x = 1,817,522,729.94
  5. Step 5: Solve for x
    x = 1,817,522,729.94/65,313.36
  6. Step 6: Final answer
    x = 27,827.73

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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.