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Finding the Fourth Proportional to 84,574.62, 116,711.64 and 46,333.82

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Solution

The fourth proportional to 84,574.62, 116,711.64 and 46,333.82 is: 63,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,574.62 : 116,711.64 = 46,333.82 : x
  2. Step 2: Convert to fraction form
    84,574.62/116,711.64 = 46,333.82/x
  3. Step 3: Cross multiply
    84,574.62x = 116,711.64 × 46,333.82
  4. Step 4: Simplify right side
    84,574.62x = 5,407,696,119.66
  5. Step 5: Solve for x
    x = 5,407,696,119.66/84,574.62
  6. Step 6: Final answer
    x = 63,939.94

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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.