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Finding the Fourth Proportional to 75,495.90, 113,243.43 and 19,335.90

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Solution

The fourth proportional to 75,495.90, 113,243.43 and 19,335.90 is: 29,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,495.90 : 113,243.43 = 19,335.90 : x
  2. Step 2: Convert to fraction form
    75,495.90/113,243.43 = 19,335.90/x
  3. Step 3: Cross multiply
    75,495.90x = 113,243.43 × 19,335.90
  4. Step 4: Simplify right side
    75,495.90x = 2,189,663,638.14
  5. Step 5: Solve for x
    x = 2,189,663,638.14/75,495.90
  6. Step 6: Final answer
    x = 29,003.74

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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.