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Finding the Fourth Proportional to 51,246.09, 76,892.88 and 19,645.60

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Solution

The fourth proportional to 51,246.09, 76,892.88 and 19,645.60 is: 29,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,246.09 : 76,892.88 = 19,645.60 : x
  2. Step 2: Convert to fraction form
    51,246.09/76,892.88 = 19,645.60/x
  3. Step 3: Cross multiply
    51,246.09x = 76,892.88 × 19,645.60
  4. Step 4: Simplify right side
    51,246.09x = 1,510,606,763.33
  5. Step 5: Solve for x
    x = 1,510,606,763.33/51,246.09
  6. Step 6: Final answer
    x = 29,477.50

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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.