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Finding the Fourth Proportional to 34,388.50, 51,587.33 and 13,607.14

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Solution

The fourth proportional to 34,388.50, 51,587.33 and 13,607.14 is: 20,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,388.50 : 51,587.33 = 13,607.14 : x
  2. Step 2: Convert to fraction form
    34,388.50/51,587.33 = 13,607.14/x
  3. Step 3: Cross multiply
    34,388.50x = 51,587.33 × 13,607.14
  4. Step 4: Simplify right side
    34,388.50x = 701,955,797.62
  5. Step 5: Solve for x
    x = 701,955,797.62/34,388.50
  6. Step 6: Final answer
    x = 20,412.52

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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.