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Finding the Fourth Proportional to 30,602.44, 42,232.98 and 17,173

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Solution

The fourth proportional to 30,602.44, 42,232.98 and 17,173 is: 23,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.44 : 42,232.98 = 17,173 : x
  2. Step 2: Convert to fraction form
    30,602.44/42,232.98 = 17,173/x
  3. Step 3: Cross multiply
    30,602.44x = 42,232.98 × 17,173
  4. Step 4: Simplify right side
    30,602.44x = 725,266,965.54
  5. Step 5: Solve for x
    x = 725,266,965.54/30,602.44
  6. Step 6: Final answer
    x = 23,699.65

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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.