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Finding the Fourth Proportional to 47,020.56, 70,529.02 and 11,961.13

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Solution

The fourth proportional to 47,020.56, 70,529.02 and 11,961.13 is: 17,941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020.56 : 70,529.02 = 11,961.13 : x
  2. Step 2: Convert to fraction form
    47,020.56/70,529.02 = 11,961.13/x
  3. Step 3: Cross multiply
    47,020.56x = 70,529.02 × 11,961.13
  4. Step 4: Simplify right side
    47,020.56x = 843,606,776.99
  5. Step 5: Solve for x
    x = 843,606,776.99/47,020.56
  6. Step 6: Final answer
    x = 17,941.23

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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.