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Finding the Fourth Proportional to 37,642.29, 56,485.29 and 16,865.79

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Solution

The fourth proportional to 37,642.29, 56,485.29 and 16,865.79 is: 25,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.29 : 56,485.29 = 16,865.79 : x
  2. Step 2: Convert to fraction form
    37,642.29/56,485.29 = 16,865.79/x
  3. Step 3: Cross multiply
    37,642.29x = 56,485.29 × 16,865.79
  4. Step 4: Simplify right side
    37,642.29x = 952,669,039.23
  5. Step 5: Solve for x
    x = 952,669,039.23/37,642.29
  6. Step 6: Final answer
    x = 25,308.48

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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.