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Finding the Fourth Proportional to 82,605.78, 114,001.62 and 46,796.08

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Solution

The fourth proportional to 82,605.78, 114,001.62 and 46,796.08 is: 64,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.78 : 114,001.62 = 46,796.08 : x
  2. Step 2: Convert to fraction form
    82,605.78/114,001.62 = 46,796.08/x
  3. Step 3: Cross multiply
    82,605.78x = 114,001.62 × 46,796.08
  4. Step 4: Simplify right side
    82,605.78x = 5,334,828,929.65
  5. Step 5: Solve for x
    x = 5,334,828,929.65/82,605.78
  6. Step 6: Final answer
    x = 64,581.79

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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.