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Finding the Fourth Proportional to 39,071.30, 53,921.70 and 22,078.64

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Solution

The fourth proportional to 39,071.30, 53,921.70 and 22,078.64 is: 30,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,071.30 : 53,921.70 = 22,078.64 : x
  2. Step 2: Convert to fraction form
    39,071.30/53,921.70 = 22,078.64/x
  3. Step 3: Cross multiply
    39,071.30x = 53,921.70 × 22,078.64
  4. Step 4: Simplify right side
    39,071.30x = 1,190,517,802.49
  5. Step 5: Solve for x
    x = 1,190,517,802.49/39,071.30
  6. Step 6: Final answer
    x = 30,470.39

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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.