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Finding the Fourth Proportional to 30,658.94, 45,988.39 and 8,169.63

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Solution

The fourth proportional to 30,658.94, 45,988.39 and 8,169.63 is: 12,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.94 : 45,988.39 = 8,169.63 : x
  2. Step 2: Convert to fraction form
    30,658.94/45,988.39 = 8,169.63/x
  3. Step 3: Cross multiply
    30,658.94x = 45,988.39 × 8,169.63
  4. Step 4: Simplify right side
    30,658.94x = 375,707,968.35
  5. Step 5: Solve for x
    x = 375,707,968.35/30,658.94
  6. Step 6: Final answer
    x = 12,254.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.