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Finding the Fourth Proportional to 34,698.36, 47,883.86 and 18,783

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Solution

The fourth proportional to 34,698.36, 47,883.86 and 18,783 is: 25,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,698.36 : 47,883.86 = 18,783 : x
  2. Step 2: Convert to fraction form
    34,698.36/47,883.86 = 18,783/x
  3. Step 3: Cross multiply
    34,698.36x = 47,883.86 × 18,783
  4. Step 4: Simplify right side
    34,698.36x = 899,402,542.38
  5. Step 5: Solve for x
    x = 899,402,542.38/34,698.36
  6. Step 6: Final answer
    x = 25,920.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.