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Finding the Fourth Proportional to 65,025, 89,734.68 and 35,217

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Solution

The fourth proportional to 65,025, 89,734.68 and 35,217 is: 48,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,025 : 89,734.68 = 35,217 : x
  2. Step 2: Convert to fraction form
    65,025/89,734.68 = 35,217/x
  3. Step 3: Cross multiply
    65,025x = 89,734.68 × 35,217
  4. Step 4: Simplify right side
    65,025x = 3,160,186,225.56
  5. Step 5: Solve for x
    x = 3,160,186,225.56/65,025
  6. Step 6: Final answer
    x = 48,599.56

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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.