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Finding the Fourth Proportional to 51,457.29, 71,000.22 and 30,228.81

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Solution

The fourth proportional to 51,457.29, 71,000.22 and 30,228.81 is: 41,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,457.29 : 71,000.22 = 30,228.81 : x
  2. Step 2: Convert to fraction form
    51,457.29/71,000.22 = 30,228.81/x
  3. Step 3: Cross multiply
    51,457.29x = 71,000.22 × 30,228.81
  4. Step 4: Simplify right side
    51,457.29x = 2,146,252,160.34
  5. Step 5: Solve for x
    x = 2,146,252,160.34/51,457.29
  6. Step 6: Final answer
    x = 41,709.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.