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Finding the Fourth Proportional to 34,776.89, 52,169.40 and 11,076.14

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Solution

The fourth proportional to 34,776.89, 52,169.40 and 11,076.14 is: 16,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,776.89 : 52,169.40 = 11,076.14 : x
  2. Step 2: Convert to fraction form
    34,776.89/52,169.40 = 11,076.14/x
  3. Step 3: Cross multiply
    34,776.89x = 52,169.40 × 11,076.14
  4. Step 4: Simplify right side
    34,776.89x = 577,835,317.27
  5. Step 5: Solve for x
    x = 577,835,317.27/34,776.89
  6. Step 6: Final answer
    x = 16,615.50

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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.