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Finding the Fourth Proportional to 34,407.51, 51,611.79 and 15,686.79

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Solution

The fourth proportional to 34,407.51, 51,611.79 and 15,686.79 is: 23,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407.51 : 51,611.79 = 15,686.79 : x
  2. Step 2: Convert to fraction form
    34,407.51/51,611.79 = 15,686.79/x
  3. Step 3: Cross multiply
    34,407.51x = 51,611.79 × 15,686.79
  4. Step 4: Simplify right side
    34,407.51x = 809,623,311.25
  5. Step 5: Solve for x
    x = 809,623,311.25/34,407.51
  6. Step 6: Final answer
    x = 23,530.42

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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.