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Finding the Fourth Proportional to 53,190.98, 79,788.50 and 19,907.54

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Solution

The fourth proportional to 53,190.98, 79,788.50 and 19,907.54 is: 29,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,190.98 : 79,788.50 = 19,907.54 : x
  2. Step 2: Convert to fraction form
    53,190.98/79,788.50 = 19,907.54/x
  3. Step 3: Cross multiply
    53,190.98x = 79,788.50 × 19,907.54
  4. Step 4: Simplify right side
    53,190.98x = 1,588,392,755.29
  5. Step 5: Solve for x
    x = 1,588,392,755.29/53,190.98
  6. Step 6: Final answer
    x = 29,862.07

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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.