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Finding the Fourth Proportional to 34,709.41, 51,994.74 and 15,963.76

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Solution

The fourth proportional to 34,709.41, 51,994.74 and 15,963.76 is: 23,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.41 : 51,994.74 = 15,963.76 : x
  2. Step 2: Convert to fraction form
    34,709.41/51,994.74 = 15,963.76/x
  3. Step 3: Cross multiply
    34,709.41x = 51,994.74 × 15,963.76
  4. Step 4: Simplify right side
    34,709.41x = 830,031,290.65
  5. Step 5: Solve for x
    x = 830,031,290.65/34,709.41
  6. Step 6: Final answer
    x = 23,913.73

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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.