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Finding the Fourth Proportional to 82,259.82, 113,517.65 and 46,448.91

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Solution

The fourth proportional to 82,259.82, 113,517.65 and 46,448.91 is: 64,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,259.82 : 113,517.65 = 46,448.91 : x
  2. Step 2: Convert to fraction form
    82,259.82/113,517.65 = 46,448.91/x
  3. Step 3: Cross multiply
    82,259.82x = 113,517.65 × 46,448.91
  4. Step 4: Simplify right side
    82,259.82x = 5,272,771,224.38
  5. Step 5: Solve for x
    x = 5,272,771,224.38/82,259.82
  6. Step 6: Final answer
    x = 64,098.99

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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.