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Finding the Fourth Proportional to 82,138.90, 113,351.52 and 46,328.80

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Solution

The fourth proportional to 82,138.90, 113,351.52 and 46,328.80 is: 63,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.90 : 113,351.52 = 46,328.80 : x
  2. Step 2: Convert to fraction form
    82,138.90/113,351.52 = 46,328.80/x
  3. Step 3: Cross multiply
    82,138.90x = 113,351.52 × 46,328.80
  4. Step 4: Simplify right side
    82,138.90x = 5,251,439,899.78
  5. Step 5: Solve for x
    x = 5,251,439,899.78/82,138.90
  6. Step 6: Final answer
    x = 63,933.65

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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.