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Finding the Fourth Proportional to 51,892.80, 77,830.62 and 18,607.80

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Solution

The fourth proportional to 51,892.80, 77,830.62 and 18,607.80 is: 27,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,892.80 : 77,830.62 = 18,607.80 : x
  2. Step 2: Convert to fraction form
    51,892.80/77,830.62 = 18,607.80/x
  3. Step 3: Cross multiply
    51,892.80x = 77,830.62 × 18,607.80
  4. Step 4: Simplify right side
    51,892.80x = 1,448,256,610.84
  5. Step 5: Solve for x
    x = 1,448,256,610.84/51,892.80
  6. Step 6: Final answer
    x = 27,908.62

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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.