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Finding the Fourth Proportional to 50,189.16, 75,271.50 and 16,900.56

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Solution

The fourth proportional to 50,189.16, 75,271.50 and 16,900.56 is: 25,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,189.16 : 75,271.50 = 16,900.56 : x
  2. Step 2: Convert to fraction form
    50,189.16/75,271.50 = 16,900.56/x
  3. Step 3: Cross multiply
    50,189.16x = 75,271.50 × 16,900.56
  4. Step 4: Simplify right side
    50,189.16x = 1,272,130,502.04
  5. Step 5: Solve for x
    x = 1,272,130,502.04/50,189.16
  6. Step 6: Final answer
    x = 25,346.72

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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.