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Finding the Fourth Proportional to 34,474.47, 51,669.90 and 15,728.82

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Solution

The fourth proportional to 34,474.47, 51,669.90 and 15,728.82 is: 23,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,474.47 : 51,669.90 = 15,728.82 : x
  2. Step 2: Convert to fraction form
    34,474.47/51,669.90 = 15,728.82/x
  3. Step 3: Cross multiply
    34,474.47x = 51,669.90 × 15,728.82
  4. Step 4: Simplify right side
    34,474.47x = 812,706,556.52
  5. Step 5: Solve for x
    x = 812,706,556.52/34,474.47
  6. Step 6: Final answer
    x = 23,574.16

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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.