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Finding the Fourth Proportional to 82,508.00, 113,851.58 and 46,204.38

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Solution

The fourth proportional to 82,508.00, 113,851.58 and 46,204.38 is: 63,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508.00 : 113,851.58 = 46,204.38 : x
  2. Step 2: Convert to fraction form
    82,508.00/113,851.58 = 46,204.38/x
  3. Step 3: Cross multiply
    82,508.00x = 113,851.58 × 46,204.38
  4. Step 4: Simplify right side
    82,508.00x = 5,260,441,434.90
  5. Step 5: Solve for x
    x = 5,260,441,434.90/82,508.00
  6. Step 6: Final answer
    x = 63,756.75

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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.