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Finding the Fourth Proportional to 34,338.96, 51,495.48 and 15,858

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Solution

The fourth proportional to 34,338.96, 51,495.48 and 15,858 is: 23,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,338.96 : 51,495.48 = 15,858 : x
  2. Step 2: Convert to fraction form
    34,338.96/51,495.48 = 15,858/x
  3. Step 3: Cross multiply
    34,338.96x = 51,495.48 × 15,858
  4. Step 4: Simplify right side
    34,338.96x = 816,615,321.84
  5. Step 5: Solve for x
    x = 816,615,321.84/34,338.96
  6. Step 6: Final answer
    x = 23,781.01

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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.