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Finding the Fourth Proportional to 34,064.99, 51,100.03 and 9,104.47

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Solution

The fourth proportional to 34,064.99, 51,100.03 and 9,104.47 is: 13,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,064.99 : 51,100.03 = 9,104.47 : x
  2. Step 2: Convert to fraction form
    34,064.99/51,100.03 = 9,104.47/x
  3. Step 3: Cross multiply
    34,064.99x = 51,100.03 × 9,104.47
  4. Step 4: Simplify right side
    34,064.99x = 465,238,573.76
  5. Step 5: Solve for x
    x = 465,238,573.76/34,064.99
  6. Step 6: Final answer
    x = 13,657.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.