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Finding the Fourth Proportional to 50,141.76, 75,189.96 and 15,072

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Solution

The fourth proportional to 50,141.76, 75,189.96 and 15,072 is: 22,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,141.76 : 75,189.96 = 15,072 : x
  2. Step 2: Convert to fraction form
    50,141.76/75,189.96 = 15,072/x
  3. Step 3: Cross multiply
    50,141.76x = 75,189.96 × 15,072
  4. Step 4: Simplify right side
    50,141.76x = 1,133,263,077.12
  5. Step 5: Solve for x
    x = 1,133,263,077.12/50,141.76
  6. Step 6: Final answer
    x = 22,601.18

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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.