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Finding the Fourth Proportional to 53,302, 73,563.24 and 30,946

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Solution

The fourth proportional to 53,302, 73,563.24 and 30,946 is: 42,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,302 : 73,563.24 = 30,946 : x
  2. Step 2: Convert to fraction form
    53,302/73,563.24 = 30,946/x
  3. Step 3: Cross multiply
    53,302x = 73,563.24 × 30,946
  4. Step 4: Simplify right side
    53,302x = 2,276,488,025.04
  5. Step 5: Solve for x
    x = 2,276,488,025.04/53,302
  6. Step 6: Final answer
    x = 42,709.24

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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.