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Finding the Fourth Proportional to 51,976.96, 71,728.74 and 28,104.10

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Solution

The fourth proportional to 51,976.96, 71,728.74 and 28,104.10 is: 38,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976.96 : 71,728.74 = 28,104.10 : x
  2. Step 2: Convert to fraction form
    51,976.96/71,728.74 = 28,104.10/x
  3. Step 3: Cross multiply
    51,976.96x = 71,728.74 × 28,104.10
  4. Step 4: Simplify right side
    51,976.96x = 2,015,871,681.83
  5. Step 5: Solve for x
    x = 2,015,871,681.83/51,976.96
  6. Step 6: Final answer
    x = 38,783.95

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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.