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Finding the Fourth Proportional to 37,664.10, 51,978.08 and 22,553.89

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Solution

The fourth proportional to 37,664.10, 51,978.08 and 22,553.89 is: 31,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664.10 : 51,978.08 = 22,553.89 : x
  2. Step 2: Convert to fraction form
    37,664.10/51,978.08 = 22,553.89/x
  3. Step 3: Cross multiply
    37,664.10x = 51,978.08 × 22,553.89
  4. Step 4: Simplify right side
    37,664.10x = 1,172,307,825.17
  5. Step 5: Solve for x
    x = 1,172,307,825.17/37,664.10
  6. Step 6: Final answer
    x = 31,125.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.