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Finding the Fourth Proportional to 42,644.41, 63,966.31 and 11,054.41

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Solution

The fourth proportional to 42,644.41, 63,966.31 and 11,054.41 is: 16,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,644.41 : 63,966.31 = 11,054.41 : x
  2. Step 2: Convert to fraction form
    42,644.41/63,966.31 = 11,054.41/x
  3. Step 3: Cross multiply
    42,644.41x = 63,966.31 × 11,054.41
  4. Step 4: Simplify right side
    42,644.41x = 707,109,629.38
  5. Step 5: Solve for x
    x = 707,109,629.38/42,644.41
  6. Step 6: Final answer
    x = 16,581.53

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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.