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Finding the Fourth Proportional to 65,492.75, 90,380 and 35,684.75

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Solution

The fourth proportional to 65,492.75, 90,380 and 35,684.75 is: 49,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,492.75 : 90,380 = 35,684.75 : x
  2. Step 2: Convert to fraction form
    65,492.75/90,380 = 35,684.75/x
  3. Step 3: Cross multiply
    65,492.75x = 90,380 × 35,684.75
  4. Step 4: Simplify right side
    65,492.75x = 3,225,187,705
  5. Step 5: Solve for x
    x = 3,225,187,705/65,492.75
  6. Step 6: Final answer
    x = 49,244.96

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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.