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Finding the Fourth Proportional to 38,930.94, 53,668.71 and 27,733.50

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Solution

The fourth proportional to 38,930.94, 53,668.71 and 27,733.50 is: 38,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,930.94 : 53,668.71 = 27,733.50 : x
  2. Step 2: Convert to fraction form
    38,930.94/53,668.71 = 27,733.50/x
  3. Step 3: Cross multiply
    38,930.94x = 53,668.71 × 27,733.50
  4. Step 4: Simplify right side
    38,930.94x = 1,488,421,168.79
  5. Step 5: Solve for x
    x = 1,488,421,168.79/38,930.94
  6. Step 6: Final answer
    x = 38,232.35

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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.