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Finding the Fourth Proportional to 35,412, 53,120.43 and 11,719.50

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Solution

The fourth proportional to 35,412, 53,120.43 and 11,719.50 is: 17,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412 : 53,120.43 = 11,719.50 : x
  2. Step 2: Convert to fraction form
    35,412/53,120.43 = 11,719.50/x
  3. Step 3: Cross multiply
    35,412x = 53,120.43 × 11,719.50
  4. Step 4: Simplify right side
    35,412x = 622,544,879.39
  5. Step 5: Solve for x
    x = 622,544,879.39/35,412
  6. Step 6: Final answer
    x = 17,580.05

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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.