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Finding the Fourth Proportional to 51,208.57, 70,668.12 and 28,549

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Solution

The fourth proportional to 51,208.57, 70,668.12 and 28,549 is: 39,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,208.57 : 70,668.12 = 28,549 : x
  2. Step 2: Convert to fraction form
    51,208.57/70,668.12 = 28,549/x
  3. Step 3: Cross multiply
    51,208.57x = 70,668.12 × 28,549
  4. Step 4: Simplify right side
    51,208.57x = 2,017,504,157.88
  5. Step 5: Solve for x
    x = 2,017,504,157.88/51,208.57
  6. Step 6: Final answer
    x = 39,397.78

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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.