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Finding the Fourth Proportional to 35,806.02, 53,704.80 and 9,512.80

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Solution

The fourth proportional to 35,806.02, 53,704.80 and 9,512.80 is: 14,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.02 : 53,704.80 = 9,512.80 : x
  2. Step 2: Convert to fraction form
    35,806.02/53,704.80 = 9,512.80/x
  3. Step 3: Cross multiply
    35,806.02x = 53,704.80 × 9,512.80
  4. Step 4: Simplify right side
    35,806.02x = 510,883,021.44
  5. Step 5: Solve for x
    x = 510,883,021.44/35,806.02
  6. Step 6: Final answer
    x = 14,268.08

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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.