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Finding the Fourth Proportional to 68,705.66, 103,057.66 and 38,722.16

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Solution

The fourth proportional to 68,705.66, 103,057.66 and 38,722.16 is: 58,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,705.66 : 103,057.66 = 38,722.16 : x
  2. Step 2: Convert to fraction form
    68,705.66/103,057.66 = 38,722.16/x
  3. Step 3: Cross multiply
    68,705.66x = 103,057.66 × 38,722.16
  4. Step 4: Simplify right side
    68,705.66x = 3,990,615,199.75
  5. Step 5: Solve for x
    x = 3,990,615,199.75/68,705.66
  6. Step 6: Final answer
    x = 58,082.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.