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Finding the Fourth Proportional to 50,489.36, 69,678.36 and 27,828.32

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Solution

The fourth proportional to 50,489.36, 69,678.36 and 27,828.32 is: 38,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,489.36 : 69,678.36 = 27,828.32 : x
  2. Step 2: Convert to fraction form
    50,489.36/69,678.36 = 27,828.32/x
  3. Step 3: Cross multiply
    50,489.36x = 69,678.36 × 27,828.32
  4. Step 4: Simplify right side
    50,489.36x = 1,939,031,699.16
  5. Step 5: Solve for x
    x = 1,939,031,699.16/50,489.36
  6. Step 6: Final answer
    x = 38,404.76

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1.5x scale

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.