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Finding the Fourth Proportional to 65,513.30, 90,399.22 and 36,829.04

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Solution

The fourth proportional to 65,513.30, 90,399.22 and 36,829.04 is: 50,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,513.30 : 90,399.22 = 36,829.04 : x
  2. Step 2: Convert to fraction form
    65,513.30/90,399.22 = 36,829.04/x
  3. Step 3: Cross multiply
    65,513.30x = 90,399.22 × 36,829.04
  4. Step 4: Simplify right side
    65,513.30x = 3,329,316,489.35
  5. Step 5: Solve for x
    x = 3,329,316,489.35/65,513.30
  6. Step 6: Final answer
    x = 50,818.94

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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.