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Finding the Fourth Proportional to 52,345, 78,538.48 and 19,067.36

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Solution

The fourth proportional to 52,345, 78,538.48 and 19,067.36 is: 28,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,345 : 78,538.48 = 19,067.36 : x
  2. Step 2: Convert to fraction form
    52,345/78,538.48 = 19,067.36/x
  3. Step 3: Cross multiply
    52,345x = 78,538.48 × 19,067.36
  4. Step 4: Simplify right side
    52,345x = 1,497,521,472.01
  5. Step 5: Solve for x
    x = 1,497,521,472.01/52,345
  6. Step 6: Final answer
    x = 28,608.68

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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.