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Finding the Fourth Proportional to 51,089.99, 70,493.61 and 29,865.14

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Solution

The fourth proportional to 51,089.99, 70,493.61 and 29,865.14 is: 41,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,089.99 : 70,493.61 = 29,865.14 : x
  2. Step 2: Convert to fraction form
    51,089.99/70,493.61 = 29,865.14/x
  3. Step 3: Cross multiply
    51,089.99x = 70,493.61 × 29,865.14
  4. Step 4: Simplify right side
    51,089.99x = 2,105,301,531.76
  5. Step 5: Solve for x
    x = 2,105,301,531.76/51,089.99
  6. Step 6: Final answer
    x = 41,207.71

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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.