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Finding the Fourth Proportional to 50,242, 69,337.20 and 27,886

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Solution

The fourth proportional to 50,242, 69,337.20 and 27,886 is: 38,484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,242 : 69,337.20 = 27,886 : x
  2. Step 2: Convert to fraction form
    50,242/69,337.20 = 27,886/x
  3. Step 3: Cross multiply
    50,242x = 69,337.20 × 27,886
  4. Step 4: Simplify right side
    50,242x = 1,933,537,159.20
  5. Step 5: Solve for x
    x = 1,933,537,159.20/50,242
  6. Step 6: Final answer
    x = 38,484.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.