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Finding the Fourth Proportional to 82,642.65, 114,046.41 and 46,839.43

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Solution

The fourth proportional to 82,642.65, 114,046.41 and 46,839.43 is: 64,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,642.65 : 114,046.41 = 46,839.43 : x
  2. Step 2: Convert to fraction form
    82,642.65/114,046.41 = 46,839.43/x
  3. Step 3: Cross multiply
    82,642.65x = 114,046.41 × 46,839.43
  4. Step 4: Simplify right side
    82,642.65x = 5,341,868,837.95
  5. Step 5: Solve for x
    x = 5,341,868,837.95/82,642.65
  6. Step 6: Final answer
    x = 64,638.16

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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.