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Finding the Fourth Proportional to 84,304.13, 116,339.76 and 46,578.38

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Solution

The fourth proportional to 84,304.13, 116,339.76 and 46,578.38 is: 64,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,304.13 : 116,339.76 = 46,578.38 : x
  2. Step 2: Convert to fraction form
    84,304.13/116,339.76 = 46,578.38/x
  3. Step 3: Cross multiply
    84,304.13x = 116,339.76 × 46,578.38
  4. Step 4: Simplify right side
    84,304.13x = 5,418,916,968.69
  5. Step 5: Solve for x
    x = 5,418,916,968.69/84,304.13
  6. Step 6: Final answer
    x = 64,278.19

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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.