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Finding the Fourth Proportional to 84,342.13, 116,392.16 and 46,616.38

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Solution

The fourth proportional to 84,342.13, 116,392.16 and 46,616.38 is: 64,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,342.13 : 116,392.16 = 46,616.38 : x
  2. Step 2: Convert to fraction form
    84,342.13/116,392.16 = 46,616.38/x
  3. Step 3: Cross multiply
    84,342.13x = 116,392.16 × 46,616.38
  4. Step 4: Simplify right side
    84,342.13x = 5,425,781,159.58
  5. Step 5: Solve for x
    x = 5,425,781,159.58/84,342.13
  6. Step 6: Final answer
    x = 64,330.62

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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.