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Finding the Fourth Proportional to 50,026, 69,038.04 and 27,670

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Solution

The fourth proportional to 50,026, 69,038.04 and 27,670 is: 38,185.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,026 : 69,038.04 = 27,670 : x
  2. Step 2: Convert to fraction form
    50,026/69,038.04 = 27,670/x
  3. Step 3: Cross multiply
    50,026x = 69,038.04 × 27,670
  4. Step 4: Simplify right side
    50,026x = 1,910,282,566.80
  5. Step 5: Solve for x
    x = 1,910,282,566.80/50,026
  6. Step 6: Final answer
    x = 38,185.79

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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.