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Finding the Fourth Proportional to 34,698, 52,048.44 and 10,074

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Solution

The fourth proportional to 34,698, 52,048.44 and 10,074 is: 15,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698 : 52,048.44 = 10,074 : x
  2. Step 2: Convert to fraction form
    34,698/52,048.44 = 10,074/x
  3. Step 3: Cross multiply
    34,698x = 52,048.44 × 10,074
  4. Step 4: Simplify right side
    34,698x = 524,335,984.56
  5. Step 5: Solve for x
    x = 524,335,984.56/34,698
  6. Step 6: Final answer
    x = 15,111.42

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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.