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Finding the Fourth Proportional to 35,412.52, 53,085.97 and 12,022.56

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Solution

The fourth proportional to 35,412.52, 53,085.97 and 12,022.56 is: 18,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412.52 : 53,085.97 = 12,022.56 : x
  2. Step 2: Convert to fraction form
    35,412.52/53,085.97 = 12,022.56/x
  3. Step 3: Cross multiply
    35,412.52x = 53,085.97 × 12,022.56
  4. Step 4: Simplify right side
    35,412.52x = 638,229,259.48
  5. Step 5: Solve for x
    x = 638,229,259.48/35,412.52
  6. Step 6: Final answer
    x = 18,022.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.