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Finding the Fourth Proportional to 65,245.79, 97,884.01 and 20,264.85

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Solution

The fourth proportional to 65,245.79, 97,884.01 and 20,264.85 is: 30,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.79 : 97,884.01 = 20,264.85 : x
  2. Step 2: Convert to fraction form
    65,245.79/97,884.01 = 20,264.85/x
  3. Step 3: Cross multiply
    65,245.79x = 97,884.01 × 20,264.85
  4. Step 4: Simplify right side
    65,245.79x = 1,983,604,678.72
  5. Step 5: Solve for x
    x = 1,983,604,678.72/65,245.79
  6. Step 6: Final answer
    x = 30,402.03

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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.