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Finding the Fourth Proportional to 51,992.88, 77,997 and 15,052.08

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Solution

The fourth proportional to 51,992.88, 77,997 and 15,052.08 is: 22,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,992.88 : 77,997 = 15,052.08 : x
  2. Step 2: Convert to fraction form
    51,992.88/77,997 = 15,052.08/x
  3. Step 3: Cross multiply
    51,992.88x = 77,997 × 15,052.08
  4. Step 4: Simplify right side
    51,992.88x = 1,174,017,083.76
  5. Step 5: Solve for x
    x = 1,174,017,083.76/51,992.88
  6. Step 6: Final answer
    x = 22,580.34

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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.