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Finding the Fourth Proportional to 51,176.56, 76,758.76 and 17,894.08

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Solution

The fourth proportional to 51,176.56, 76,758.76 and 17,894.08 is: 26,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,176.56 : 76,758.76 = 17,894.08 : x
  2. Step 2: Convert to fraction form
    51,176.56/76,758.76 = 17,894.08/x
  3. Step 3: Cross multiply
    51,176.56x = 76,758.76 × 17,894.08
  4. Step 4: Simplify right side
    51,176.56x = 1,373,527,392.14
  5. Step 5: Solve for x
    x = 1,373,527,392.14/51,176.56
  6. Step 6: Final answer
    x = 26,838.99

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Why These Related Problems?

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