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Finding the Fourth Proportional to 82,509.50, 113,853.65 and 46,205.88

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Solution

The fourth proportional to 82,509.50, 113,853.65 and 46,205.88 is: 63,758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.50 : 113,853.65 = 46,205.88 : x
  2. Step 2: Convert to fraction form
    82,509.50/113,853.65 = 46,205.88/x
  3. Step 3: Cross multiply
    82,509.50x = 113,853.65 × 46,205.88
  4. Step 4: Simplify right side
    82,509.50x = 5,260,707,858.43
  5. Step 5: Solve for x
    x = 5,260,707,858.43/82,509.50
  6. Step 6: Final answer
    x = 63,758.82

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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.