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Finding the Fourth Proportional to 51,197.76, 76,806.50 and 17,927.28

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Solution

The fourth proportional to 51,197.76, 76,806.50 and 17,927.28 is: 26,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,197.76 : 76,806.50 = 17,927.28 : x
  2. Step 2: Convert to fraction form
    51,197.76/76,806.50 = 17,927.28/x
  3. Step 3: Cross multiply
    51,197.76x = 76,806.50 × 17,927.28
  4. Step 4: Simplify right side
    51,197.76x = 1,376,931,541.68
  5. Step 5: Solve for x
    x = 1,376,931,541.68/51,197.76
  6. Step 6: Final answer
    x = 26,894.37

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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.