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Finding the Fourth Proportional to 30,205.50, 45,332.54 and 15,418.34

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Solution

The fourth proportional to 30,205.50, 45,332.54 and 15,418.34 is: 23,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.50 : 45,332.54 = 15,418.34 : x
  2. Step 2: Convert to fraction form
    30,205.50/45,332.54 = 15,418.34/x
  3. Step 3: Cross multiply
    30,205.50x = 45,332.54 × 15,418.34
  4. Step 4: Simplify right side
    30,205.50x = 698,952,514.78
  5. Step 5: Solve for x
    x = 698,952,514.78/30,205.50
  6. Step 6: Final answer
    x = 23,139.91

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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.