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Finding the Fourth Proportional to 82,130.90, 113,340.49 and 46,320.80

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Solution

The fourth proportional to 82,130.90, 113,340.49 and 46,320.80 is: 63,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130.90 : 113,340.49 = 46,320.80 : x
  2. Step 2: Convert to fraction form
    82,130.90/113,340.49 = 46,320.80/x
  3. Step 3: Cross multiply
    82,130.90x = 113,340.49 × 46,320.80
  4. Step 4: Simplify right side
    82,130.90x = 5,250,022,336.74
  5. Step 5: Solve for x
    x = 5,250,022,336.74/82,130.90
  6. Step 6: Final answer
    x = 63,922.62

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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.