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Finding the Fourth Proportional to 30,971.94, 42,742.06 and 17,543

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Solution

The fourth proportional to 30,971.94, 42,742.06 and 17,543 is: 24,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.94 : 42,742.06 = 17,543 : x
  2. Step 2: Convert to fraction form
    30,971.94/42,742.06 = 17,543/x
  3. Step 3: Cross multiply
    30,971.94x = 42,742.06 × 17,543
  4. Step 4: Simplify right side
    30,971.94x = 749,823,958.58
  5. Step 5: Solve for x
    x = 749,823,958.58/30,971.94
  6. Step 6: Final answer
    x = 24,209.78

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