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Finding the Fourth Proportional to 53,894.92, 74,365.12 and 30,021

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Solution

The fourth proportional to 53,894.92, 74,365.12 and 30,021 is: 41,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,894.92 : 74,365.12 = 30,021 : x
  2. Step 2: Convert to fraction form
    53,894.92/74,365.12 = 30,021/x
  3. Step 3: Cross multiply
    53,894.92x = 74,365.12 × 30,021
  4. Step 4: Simplify right side
    53,894.92x = 2,232,515,267.52
  5. Step 5: Solve for x
    x = 2,232,515,267.52/53,894.92
  6. Step 6: Final answer
    x = 41,423.48

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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.