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Finding the Fourth Proportional to 35,497, 53,266.02 and 19,704.16

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Solution

The fourth proportional to 35,497, 53,266.02 and 19,704.16 is: 29,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497 : 53,266.02 = 19,704.16 : x
  2. Step 2: Convert to fraction form
    35,497/53,266.02 = 19,704.16/x
  3. Step 3: Cross multiply
    35,497x = 53,266.02 × 19,704.16
  4. Step 4: Simplify right side
    35,497x = 1,049,562,180.64
  5. Step 5: Solve for x
    x = 1,049,562,180.64/35,497
  6. Step 6: Final answer
    x = 29,567.63

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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.