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Finding the Fourth Proportional to 115,488, 173,301.12 and 49,824

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Solution

The fourth proportional to 115,488, 173,301.12 and 49,824 is: 74,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,488 : 173,301.12 = 49,824 : x
  2. Step 2: Convert to fraction form
    115,488/173,301.12 = 49,824/x
  3. Step 3: Cross multiply
    115,488x = 173,301.12 × 49,824
  4. Step 4: Simplify right side
    115,488x = 8,634,555,002.88
  5. Step 5: Solve for x
    x = 8,634,555,002.88/115,488
  6. Step 6: Final answer
    x = 74,765.82

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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.