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Finding the Fourth Proportional to 50,100, 75,154.98 and 18,518.34

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Solution

The fourth proportional to 50,100, 75,154.98 and 18,518.34 is: 27,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,100 : 75,154.98 = 18,518.34 : x
  2. Step 2: Convert to fraction form
    50,100/75,154.98 = 18,518.34/x
  3. Step 3: Cross multiply
    50,100x = 75,154.98 × 18,518.34
  4. Step 4: Simplify right side
    50,100x = 1,391,745,472.33
  5. Step 5: Solve for x
    x = 1,391,745,472.33/50,100
  6. Step 6: Final answer
    x = 27,779.35

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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.