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Finding the Fourth Proportional to 82,785.80, 114,254.13 and 46,493.21

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Solution

The fourth proportional to 82,785.80, 114,254.13 and 46,493.21 is: 64,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785.80 : 114,254.13 = 46,493.21 : x
  2. Step 2: Convert to fraction form
    82,785.80/114,254.13 = 46,493.21/x
  3. Step 3: Cross multiply
    82,785.80x = 114,254.13 × 46,493.21
  4. Step 4: Simplify right side
    82,785.80x = 5,312,040,455.72
  5. Step 5: Solve for x
    x = 5,312,040,455.72/82,785.80
  6. Step 6: Final answer
    x = 64,166.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.