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Finding the Fourth Proportional to 51,963.23, 71,709 and 28,089.69

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Solution

The fourth proportional to 51,963.23, 71,709 and 28,089.69 is: 38,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963.23 : 71,709 = 28,089.69 : x
  2. Step 2: Convert to fraction form
    51,963.23/71,709 = 28,089.69/x
  3. Step 3: Cross multiply
    51,963.23x = 71,709 × 28,089.69
  4. Step 4: Simplify right side
    51,963.23x = 2,014,283,580.21
  5. Step 5: Solve for x
    x = 2,014,283,580.21/51,963.23
  6. Step 6: Final answer
    x = 38,763.64

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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.