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Finding the Fourth Proportional to 34,486.88, 51,687.03 and 14,742.23

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Solution

The fourth proportional to 34,486.88, 51,687.03 and 14,742.23 is: 22,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,486.88 : 51,687.03 = 14,742.23 : x
  2. Step 2: Convert to fraction form
    34,486.88/51,687.03 = 14,742.23/x
  3. Step 3: Cross multiply
    34,486.88x = 51,687.03 × 14,742.23
  4. Step 4: Simplify right side
    34,486.88x = 761,981,825.84
  5. Step 5: Solve for x
    x = 761,981,825.84/34,486.88
  6. Step 6: Final answer
    x = 22,094.84

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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.