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Finding the Fourth Proportional to 53,195.43, 73,389.10 and 30,526.23

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Solution

The fourth proportional to 53,195.43, 73,389.10 and 30,526.23 is: 42,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,195.43 : 73,389.10 = 30,526.23 : x
  2. Step 2: Convert to fraction form
    53,195.43/73,389.10 = 30,526.23/x
  3. Step 3: Cross multiply
    53,195.43x = 73,389.10 × 30,526.23
  4. Step 4: Simplify right side
    53,195.43x = 2,240,292,546.09
  5. Step 5: Solve for x
    x = 2,240,292,546.09/53,195.43
  6. Step 6: Final answer
    x = 42,114.38

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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.