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Finding the Fourth Proportional to 82,394.38, 113,699.80 and 46,582.26

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Solution

The fourth proportional to 82,394.38, 113,699.80 and 46,582.26 is: 64,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394.38 : 113,699.80 = 46,582.26 : x
  2. Step 2: Convert to fraction form
    82,394.38/113,699.80 = 46,582.26/x
  3. Step 3: Cross multiply
    82,394.38x = 113,699.80 × 46,582.26
  4. Step 4: Simplify right side
    82,394.38x = 5,296,392,844.14
  5. Step 5: Solve for x
    x = 5,296,392,844.14/82,394.38
  6. Step 6: Final answer
    x = 64,281.00

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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.