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Finding the Fourth Proportional to 30,342.88, 45,514.32 and 9,568

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Solution

The fourth proportional to 30,342.88, 45,514.32 and 9,568 is: 14,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.88 : 45,514.32 = 9,568 : x
  2. Step 2: Convert to fraction form
    30,342.88/45,514.32 = 9,568/x
  3. Step 3: Cross multiply
    30,342.88x = 45,514.32 × 9,568
  4. Step 4: Simplify right side
    30,342.88x = 435,481,013.76
  5. Step 5: Solve for x
    x = 435,481,013.76/30,342.88
  6. Step 6: Final answer
    x = 14,352

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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.