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Finding the Fourth Proportional to 65,508.57, 90,401.38 and 37,214.26

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Solution

The fourth proportional to 65,508.57, 90,401.38 and 37,214.26 is: 51,355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,508.57 : 90,401.38 = 37,214.26 : x
  2. Step 2: Convert to fraction form
    65,508.57/90,401.38 = 37,214.26/x
  3. Step 3: Cross multiply
    65,508.57x = 90,401.38 × 37,214.26
  4. Step 4: Simplify right side
    65,508.57x = 3,364,220,459.68
  5. Step 5: Solve for x
    x = 3,364,220,459.68/65,508.57
  6. Step 6: Final answer
    x = 51,355.43

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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.