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Finding the Fourth Proportional to 65,096.10, 89,829 and 36,410.22

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Solution

The fourth proportional to 65,096.10, 89,829 and 36,410.22 is: 50,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096.10 : 89,829 = 36,410.22 : x
  2. Step 2: Convert to fraction form
    65,096.10/89,829 = 36,410.22/x
  3. Step 3: Cross multiply
    65,096.10x = 89,829 × 36,410.22
  4. Step 4: Simplify right side
    65,096.10x = 3,270,693,652.38
  5. Step 5: Solve for x
    x = 3,270,693,652.38/65,096.10
  6. Step 6: Final answer
    x = 50,244.08

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1.5x scale

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.