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Finding the Fourth Proportional to 30,203.34, 41,681.07 and 16,775.46

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Solution

The fourth proportional to 30,203.34, 41,681.07 and 16,775.46 is: 23,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203.34 : 41,681.07 = 16,775.46 : x
  2. Step 2: Convert to fraction form
    30,203.34/41,681.07 = 16,775.46/x
  3. Step 3: Cross multiply
    30,203.34x = 41,681.07 × 16,775.46
  4. Step 4: Simplify right side
    30,203.34x = 699,219,122.54
  5. Step 5: Solve for x
    x = 699,219,122.54/30,203.34
  6. Step 6: Final answer
    x = 23,150.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.