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Finding the Fourth Proportional to 68,507.16, 102,749.53 and 24,123.48

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Solution

The fourth proportional to 68,507.16, 102,749.53 and 24,123.48 is: 36,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,507.16 : 102,749.53 = 24,123.48 : x
  2. Step 2: Convert to fraction form
    68,507.16/102,749.53 = 24,123.48/x
  3. Step 3: Cross multiply
    68,507.16x = 102,749.53 × 24,123.48
  4. Step 4: Simplify right side
    68,507.16x = 2,478,676,231.96
  5. Step 5: Solve for x
    x = 2,478,676,231.96/68,507.16
  6. Step 6: Final answer
    x = 36,181.27

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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.