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Finding the Fourth Proportional to 65,820.92, 90,804.02 and 38,583.20

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Solution

The fourth proportional to 65,820.92, 90,804.02 and 38,583.20 is: 53,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,820.92 : 90,804.02 = 38,583.20 : x
  2. Step 2: Convert to fraction form
    65,820.92/90,804.02 = 38,583.20/x
  3. Step 3: Cross multiply
    65,820.92x = 90,804.02 × 38,583.20
  4. Step 4: Simplify right side
    65,820.92x = 3,503,509,404.82
  5. Step 5: Solve for x
    x = 3,503,509,404.82/65,820.92
  6. Step 6: Final answer
    x = 53,227.90

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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.