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Finding the Fourth Proportional to 53,064.96, 73,205.28 and 30,696

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Solution

The fourth proportional to 53,064.96, 73,205.28 and 30,696 is: 42,346.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,064.96 : 73,205.28 = 30,696 : x
  2. Step 2: Convert to fraction form
    53,064.96/73,205.28 = 30,696/x
  3. Step 3: Cross multiply
    53,064.96x = 73,205.28 × 30,696
  4. Step 4: Simplify right side
    53,064.96x = 2,247,109,274.88
  5. Step 5: Solve for x
    x = 2,247,109,274.88/53,064.96
  6. Step 6: Final answer
    x = 42,346.39

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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.