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Finding the Fourth Proportional to 82,324.02, 113,606.52 and 44,598

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Solution

The fourth proportional to 82,324.02, 113,606.52 and 44,598 is: 61,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324.02 : 113,606.52 = 44,598 : x
  2. Step 2: Convert to fraction form
    82,324.02/113,606.52 = 44,598/x
  3. Step 3: Cross multiply
    82,324.02x = 113,606.52 × 44,598
  4. Step 4: Simplify right side
    82,324.02x = 5,066,623,578.96
  5. Step 5: Solve for x
    x = 5,066,623,578.96/82,324.02
  6. Step 6: Final answer
    x = 61,544.90

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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.