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Finding the Fourth Proportional to 75,608.69, 113,404.92 and 23,018.63

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Solution

The fourth proportional to 75,608.69, 113,404.92 and 23,018.63 is: 34,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,608.69 : 113,404.92 = 23,018.63 : x
  2. Step 2: Convert to fraction form
    75,608.69/113,404.92 = 23,018.63/x
  3. Step 3: Cross multiply
    75,608.69x = 113,404.92 × 23,018.63
  4. Step 4: Simplify right side
    75,608.69x = 2,610,425,326.64
  5. Step 5: Solve for x
    x = 2,610,425,326.64/75,608.69
  6. Step 6: Final answer
    x = 34,525.47

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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.