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Finding the Fourth Proportional to 75,699.97, 113,567.54 and 25,780.49

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Solution

The fourth proportional to 75,699.97, 113,567.54 and 25,780.49 is: 38,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,699.97 : 113,567.54 = 25,780.49 : x
  2. Step 2: Convert to fraction form
    75,699.97/113,567.54 = 25,780.49/x
  3. Step 3: Cross multiply
    75,699.97x = 113,567.54 × 25,780.49
  4. Step 4: Simplify right side
    75,699.97x = 2,927,826,984.31
  5. Step 5: Solve for x
    x = 2,927,826,984.31/75,699.97
  6. Step 6: Final answer
    x = 38,676.73

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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.