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Finding the Fourth Proportional to 35,764.56, 53,644.14 and 10,803.96

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Solution

The fourth proportional to 35,764.56, 53,644.14 and 10,803.96 is: 16,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764.56 : 53,644.14 = 10,803.96 : x
  2. Step 2: Convert to fraction form
    35,764.56/53,644.14 = 10,803.96/x
  3. Step 3: Cross multiply
    35,764.56x = 53,644.14 × 10,803.96
  4. Step 4: Simplify right side
    35,764.56x = 579,569,142.79
  5. Step 5: Solve for x
    x = 579,569,142.79/35,764.56
  6. Step 6: Final answer
    x = 16,205.12

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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.