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Finding the Fourth Proportional to 82,580.38, 113,897.46 and 55,680.28

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Solution

The fourth proportional to 82,580.38, 113,897.46 and 55,680.28 is: 76,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,580.38 : 113,897.46 = 55,680.28 : x
  2. Step 2: Convert to fraction form
    82,580.38/113,897.46 = 55,680.28/x
  3. Step 3: Cross multiply
    82,580.38x = 113,897.46 × 55,680.28
  4. Step 4: Simplify right side
    82,580.38x = 6,341,842,464.09
  5. Step 5: Solve for x
    x = 6,341,842,464.09/82,580.38
  6. Step 6: Final answer
    x = 76,796.00

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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.