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Finding the Fourth Proportional to 51,316.56, 76,983.12 and 15,776.88

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Solution

The fourth proportional to 51,316.56, 76,983.12 and 15,776.88 is: 23,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,316.56 : 76,983.12 = 15,776.88 : x
  2. Step 2: Convert to fraction form
    51,316.56/76,983.12 = 15,776.88/x
  3. Step 3: Cross multiply
    51,316.56x = 76,983.12 × 15,776.88
  4. Step 4: Simplify right side
    51,316.56x = 1,214,553,446.27
  5. Step 5: Solve for x
    x = 1,214,553,446.27/51,316.56
  6. Step 6: Final answer
    x = 23,667.87

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1.5x scale

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.