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Finding the Fourth Proportional to 51,903, 71,626.22 and 29,547

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Solution

The fourth proportional to 51,903, 71,626.22 and 29,547 is: 40,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,903 : 71,626.22 = 29,547 : x
  2. Step 2: Convert to fraction form
    51,903/71,626.22 = 29,547/x
  3. Step 3: Cross multiply
    51,903x = 71,626.22 × 29,547
  4. Step 4: Simplify right side
    51,903x = 2,116,339,922.34
  5. Step 5: Solve for x
    x = 2,116,339,922.34/51,903
  6. Step 6: Final answer
    x = 40,774.91

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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.