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Finding the Fourth Proportional to 82,603.38, 113,929.20 and 55,703.28

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Solution

The fourth proportional to 82,603.38, 113,929.20 and 55,703.28 is: 76,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,603.38 : 113,929.20 = 55,703.28 : x
  2. Step 2: Convert to fraction form
    82,603.38/113,929.20 = 55,703.28/x
  3. Step 3: Cross multiply
    82,603.38x = 113,929.20 × 55,703.28
  4. Step 4: Simplify right side
    82,603.38x = 6,346,230,127.78
  5. Step 5: Solve for x
    x = 6,346,230,127.78/82,603.38
  6. Step 6: Final answer
    x = 76,827.73

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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.