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Finding the Fourth Proportional to 84,257.31, 116,275.01 and 46,531.47

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Solution

The fourth proportional to 84,257.31, 116,275.01 and 46,531.47 is: 64,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,257.31 : 116,275.01 = 46,531.47 : x
  2. Step 2: Convert to fraction form
    84,257.31/116,275.01 = 46,531.47/x
  3. Step 3: Cross multiply
    84,257.31x = 116,275.01 × 46,531.47
  4. Step 4: Simplify right side
    84,257.31x = 5,410,446,906.91
  5. Step 5: Solve for x
    x = 5,410,446,906.91/84,257.31
  6. Step 6: Final answer
    x = 64,213.38

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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.