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Finding the Fourth Proportional to 82,502, 113,882.32 and 48,968

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Solution

The fourth proportional to 82,502, 113,882.32 and 48,968 is: 67,593.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,502 : 113,882.32 = 48,968 : x
  2. Step 2: Convert to fraction form
    82,502/113,882.32 = 48,968/x
  3. Step 3: Cross multiply
    82,502x = 113,882.32 × 48,968
  4. Step 4: Simplify right side
    82,502x = 5,576,589,445.76
  5. Step 5: Solve for x
    x = 5,576,589,445.76/82,502
  6. Step 6: Final answer
    x = 67,593.38

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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.