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Finding the Fourth Proportional to 50,983.50, 76,475.25 and 14,047.50

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Solution

The fourth proportional to 50,983.50, 76,475.25 and 14,047.50 is: 21,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,983.50 : 76,475.25 = 14,047.50 : x
  2. Step 2: Convert to fraction form
    50,983.50/76,475.25 = 14,047.50/x
  3. Step 3: Cross multiply
    50,983.50x = 76,475.25 × 14,047.50
  4. Step 4: Simplify right side
    50,983.50x = 1,074,286,074.38
  5. Step 5: Solve for x
    x = 1,074,286,074.38/50,983.50
  6. Step 6: Final answer
    x = 21,071.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.