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Finding the Fourth Proportional to 65,481.84, 90,368.64 and 38,640.24

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Solution

The fourth proportional to 65,481.84, 90,368.64 and 38,640.24 is: 53,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,481.84 : 90,368.64 = 38,640.24 : x
  2. Step 2: Convert to fraction form
    65,481.84/90,368.64 = 38,640.24/x
  3. Step 3: Cross multiply
    65,481.84x = 90,368.64 × 38,640.24
  4. Step 4: Simplify right side
    65,481.84x = 3,491,865,938.07
  5. Step 5: Solve for x
    x = 3,491,865,938.07/65,481.84
  6. Step 6: Final answer
    x = 53,325.72

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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.