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Finding the Fourth Proportional to 50,507, 69,700.06 and 27,846.80

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Solution

The fourth proportional to 50,507, 69,700.06 and 27,846.80 is: 38,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507 : 69,700.06 = 27,846.80 : x
  2. Step 2: Convert to fraction form
    50,507/69,700.06 = 27,846.80/x
  3. Step 3: Cross multiply
    50,507x = 69,700.06 × 27,846.80
  4. Step 4: Simplify right side
    50,507x = 1,940,923,630.81
  5. Step 5: Solve for x
    x = 1,940,923,630.81/50,507
  6. Step 6: Final answer
    x = 38,428.80

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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.