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Finding the Fourth Proportional to 51,852, 77,789.52 and 19,020

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Solution

The fourth proportional to 51,852, 77,789.52 and 19,020 is: 28,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852 : 77,789.52 = 19,020 : x
  2. Step 2: Convert to fraction form
    51,852/77,789.52 = 19,020/x
  3. Step 3: Cross multiply
    51,852x = 77,789.52 × 19,020
  4. Step 4: Simplify right side
    51,852x = 1,479,556,670.40
  5. Step 5: Solve for x
    x = 1,479,556,670.40/51,852
  6. Step 6: Final answer
    x = 28,534.23

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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.