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Finding the Fourth Proportional to 82,320.31, 113,604.25 and 46,509.55

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Solution

The fourth proportional to 82,320.31, 113,604.25 and 46,509.55 is: 64,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,320.31 : 113,604.25 = 46,509.55 : x
  2. Step 2: Convert to fraction form
    82,320.31/113,604.25 = 46,509.55/x
  3. Step 3: Cross multiply
    82,320.31x = 113,604.25 × 46,509.55
  4. Step 4: Simplify right side
    82,320.31x = 5,283,682,900.48
  5. Step 5: Solve for x
    x = 5,283,682,900.48/82,320.31
  6. Step 6: Final answer
    x = 64,184.44

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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.