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Finding the Fourth Proportional to 35,681, 53,524.54 and 11,057

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Solution

The fourth proportional to 35,681, 53,524.54 and 11,057 is: 16,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,681 : 53,524.54 = 11,057 : x
  2. Step 2: Convert to fraction form
    35,681/53,524.54 = 11,057/x
  3. Step 3: Cross multiply
    35,681x = 53,524.54 × 11,057
  4. Step 4: Simplify right side
    35,681x = 591,820,838.78
  5. Step 5: Solve for x
    x = 591,820,838.78/35,681
  6. Step 6: Final answer
    x = 16,586.44

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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.