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Finding the Fourth Proportional to 82,500.84, 113,851.20 and 44,775.09

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Solution

The fourth proportional to 82,500.84, 113,851.20 and 44,775.09 is: 61,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,500.84 : 113,851.20 = 44,775.09 : x
  2. Step 2: Convert to fraction form
    82,500.84/113,851.20 = 44,775.09/x
  3. Step 3: Cross multiply
    82,500.84x = 113,851.20 × 44,775.09
  4. Step 4: Simplify right side
    82,500.84x = 5,097,697,726.61
  5. Step 5: Solve for x
    x = 5,097,697,726.61/82,500.84
  6. Step 6: Final answer
    x = 61,789.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.