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Finding the Fourth Proportional to 30,964.80, 42,734.07 and 17,538.45

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Solution

The fourth proportional to 30,964.80, 42,734.07 and 17,538.45 is: 24,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.80 : 42,734.07 = 17,538.45 : x
  2. Step 2: Convert to fraction form
    30,964.80/42,734.07 = 17,538.45/x
  3. Step 3: Cross multiply
    30,964.80x = 42,734.07 × 17,538.45
  4. Step 4: Simplify right side
    30,964.80x = 749,489,189.74
  5. Step 5: Solve for x
    x = 749,489,189.74/30,964.80
  6. Step 6: Final answer
    x = 24,204.55

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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.