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Finding the Fourth Proportional to 20,835, 31,119.48 and 18,857.52

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Solution

The fourth proportional to 20,835, 31,119.48 and 18,857.52 is: 28,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835 : 31,119.48 = 18,857.52 : x
  2. Step 2: Convert to fraction form
    20,835/31,119.48 = 18,857.52/x
  3. Step 3: Cross multiply
    20,835x = 31,119.48 × 18,857.52
  4. Step 4: Simplify right side
    20,835x = 586,836,216.49
  5. Step 5: Solve for x
    x = 586,836,216.49/20,835
  6. Step 6: Final answer
    x = 28,165.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.