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Finding the Fourth Proportional to 65,208.64, 97,776.24 and 20,824.96

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Solution

The fourth proportional to 65,208.64, 97,776.24 and 20,824.96 is: 31,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,208.64 : 97,776.24 = 20,824.96 : x
  2. Step 2: Convert to fraction form
    65,208.64/97,776.24 = 20,824.96/x
  3. Step 3: Cross multiply
    65,208.64x = 97,776.24 × 20,824.96
  4. Step 4: Simplify right side
    65,208.64x = 2,036,186,286.95
  5. Step 5: Solve for x
    x = 2,036,186,286.95/65,208.64
  6. Step 6: Final answer
    x = 31,225.71

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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.