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Finding the Fourth Proportional to 51,488.97, 71,051.34 and 28,824.14

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Solution

The fourth proportional to 51,488.97, 71,051.34 and 28,824.14 is: 39,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,488.97 : 71,051.34 = 28,824.14 : x
  2. Step 2: Convert to fraction form
    51,488.97/71,051.34 = 28,824.14/x
  3. Step 3: Cross multiply
    51,488.97x = 71,051.34 × 28,824.14
  4. Step 4: Simplify right side
    51,488.97x = 2,047,993,416.09
  5. Step 5: Solve for x
    x = 2,047,993,416.09/51,488.97
  6. Step 6: Final answer
    x = 39,775.38

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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.