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Finding the Fourth Proportional to 52,951.88, 73,089.99 and 34,089

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Solution

The fourth proportional to 52,951.88, 73,089.99 and 34,089 is: 47,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.88 : 73,089.99 = 34,089 : x
  2. Step 2: Convert to fraction form
    52,951.88/73,089.99 = 34,089/x
  3. Step 3: Cross multiply
    52,951.88x = 73,089.99 × 34,089
  4. Step 4: Simplify right side
    52,951.88x = 2,491,564,669.11
  5. Step 5: Solve for x
    x = 2,491,564,669.11/52,951.88
  6. Step 6: Final answer
    x = 47,053.38

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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.