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Finding the Fourth Proportional to 75,025, 103,537.74 and 41,491

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Solution

The fourth proportional to 75,025, 103,537.74 and 41,491 is: 57,259.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,025 : 103,537.74 = 41,491 : x
  2. Step 2: Convert to fraction form
    75,025/103,537.74 = 41,491/x
  3. Step 3: Cross multiply
    75,025x = 103,537.74 × 41,491
  4. Step 4: Simplify right side
    75,025x = 4,295,884,370.34
  5. Step 5: Solve for x
    x = 4,295,884,370.34/75,025
  6. Step 6: Final answer
    x = 57,259.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.