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Finding the Fourth Proportional to 82,954.13, 114,477.30 and 45,228.38

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Solution

The fourth proportional to 82,954.13, 114,477.30 and 45,228.38 is: 62,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.13 : 114,477.30 = 45,228.38 : x
  2. Step 2: Convert to fraction form
    82,954.13/114,477.30 = 45,228.38/x
  3. Step 3: Cross multiply
    82,954.13x = 114,477.30 × 45,228.38
  4. Step 4: Simplify right side
    82,954.13x = 5,177,622,253.39
  5. Step 5: Solve for x
    x = 5,177,622,253.39/82,954.13
  6. Step 6: Final answer
    x = 62,415.49

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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.