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Finding the Fourth Proportional to 34,486.64, 51,728.48 and 9,862.64

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Solution

The fourth proportional to 34,486.64, 51,728.48 and 9,862.64 is: 14,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,486.64 : 51,728.48 = 9,862.64 : x
  2. Step 2: Convert to fraction form
    34,486.64/51,728.48 = 9,862.64/x
  3. Step 3: Cross multiply
    34,486.64x = 51,728.48 × 9,862.64
  4. Step 4: Simplify right side
    34,486.64x = 510,179,375.99
  5. Step 5: Solve for x
    x = 510,179,375.99/34,486.64
  6. Step 6: Final answer
    x = 14,793.54

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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.