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Finding the Fourth Proportional to 50,007, 69,009.70 and 27,651

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Solution

The fourth proportional to 50,007, 69,009.70 and 27,651 is: 38,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,007 : 69,009.70 = 27,651 : x
  2. Step 2: Convert to fraction form
    50,007/69,009.70 = 27,651/x
  3. Step 3: Cross multiply
    50,007x = 69,009.70 × 27,651
  4. Step 4: Simplify right side
    50,007x = 1,908,187,214.70
  5. Step 5: Solve for x
    x = 1,908,187,214.70/50,007
  6. Step 6: Final answer
    x = 38,158.40

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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.