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Finding the Fourth Proportional to 51,297, 76,958.48 and 15,760.08

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Solution

The fourth proportional to 51,297, 76,958.48 and 15,760.08 is: 23,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297 : 76,958.48 = 15,760.08 : x
  2. Step 2: Convert to fraction form
    51,297/76,958.48 = 15,760.08/x
  3. Step 3: Cross multiply
    51,297x = 76,958.48 × 15,760.08
  4. Step 4: Simplify right side
    51,297x = 1,212,871,801.48
  5. Step 5: Solve for x
    x = 1,212,871,801.48/51,297
  6. Step 6: Final answer
    x = 23,644.11

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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.