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Finding the Fourth Proportional to 65,197.53, 97,788.09 and 20,820.60

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Solution

The fourth proportional to 65,197.53, 97,788.09 and 20,820.60 is: 31,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.53 : 97,788.09 = 20,820.60 : x
  2. Step 2: Convert to fraction form
    65,197.53/97,788.09 = 20,820.60/x
  3. Step 3: Cross multiply
    65,197.53x = 97,788.09 × 20,820.60
  4. Step 4: Simplify right side
    65,197.53x = 2,036,006,706.65
  5. Step 5: Solve for x
    x = 2,036,006,706.65/65,197.53
  6. Step 6: Final answer
    x = 31,228.28

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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.