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Finding the Fourth Proportional to 35,919, 53,887.14 and 11,295

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Solution

The fourth proportional to 35,919, 53,887.14 and 11,295 is: 16,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,919 : 53,887.14 = 11,295 : x
  2. Step 2: Convert to fraction form
    35,919/53,887.14 = 11,295/x
  3. Step 3: Cross multiply
    35,919x = 53,887.14 × 11,295
  4. Step 4: Simplify right side
    35,919x = 608,655,246.30
  5. Step 5: Solve for x
    x = 608,655,246.30/35,919
  6. Step 6: Final answer
    x = 16,945.22

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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.