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Finding the Fourth Proportional to 82,465.04, 113,801.28 and 44,738.48

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Solution

The fourth proportional to 82,465.04, 113,801.28 and 44,738.48 is: 61,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,465.04 : 113,801.28 = 44,738.48 : x
  2. Step 2: Convert to fraction form
    82,465.04/113,801.28 = 44,738.48/x
  3. Step 3: Cross multiply
    82,465.04x = 113,801.28 × 44,738.48
  4. Step 4: Simplify right side
    82,465.04x = 5,091,296,289.25
  5. Step 5: Solve for x
    x = 5,091,296,289.25/82,465.04
  6. Step 6: Final answer
    x = 61,738.84

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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.