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Finding the Fourth Proportional to 65,309.67, 90,128.38 and 36,635.71

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Solution

The fourth proportional to 65,309.67, 90,128.38 and 36,635.71 is: 50,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,309.67 : 90,128.38 = 36,635.71 : x
  2. Step 2: Convert to fraction form
    65,309.67/90,128.38 = 36,635.71/x
  3. Step 3: Cross multiply
    65,309.67x = 90,128.38 × 36,635.71
  4. Step 4: Simplify right side
    65,309.67x = 3,301,916,875.54
  5. Step 5: Solve for x
    x = 3,301,916,875.54/65,309.67
  6. Step 6: Final answer
    x = 50,557.85

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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.