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Finding the Fourth Proportional to 65,205.10, 97,814.85 and 20,824.30

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Solution

The fourth proportional to 65,205.10, 97,814.85 and 20,824.30 is: 31,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.10 : 97,814.85 = 20,824.30 : x
  2. Step 2: Convert to fraction form
    65,205.10/97,814.85 = 20,824.30/x
  3. Step 3: Cross multiply
    65,205.10x = 97,814.85 × 20,824.30
  4. Step 4: Simplify right side
    65,205.10x = 2,036,925,780.86
  5. Step 5: Solve for x
    x = 2,036,925,780.86/65,205.10
  6. Step 6: Final answer
    x = 31,238.75

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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.