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Finding the Fourth Proportional to 51,471.01, 70,381.41 and 51,471.01

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Solution

The fourth proportional to 51,471.01, 70,381.41 and 51,471.01 is: 70,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471.01 : 70,381.41 = 51,471.01 : x
  2. Step 2: Convert to fraction form
    51,471.01/70,381.41 = 51,471.01/x
  3. Step 3: Cross multiply
    51,471.01x = 70,381.41 × 51,471.01
  4. Step 4: Simplify right side
    51,471.01x = 3,622,602,257.92
  5. Step 5: Solve for x
    x = 3,622,602,257.92/51,471.01
  6. Step 6: Final answer
    x = 70,381.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.