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Finding the Fourth Proportional to 84,594.97, 116,735.63 and 46,354.06

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Solution

The fourth proportional to 84,594.97, 116,735.63 and 46,354.06 is: 63,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,594.97 : 116,735.63 = 46,354.06 : x
  2. Step 2: Convert to fraction form
    84,594.97/116,735.63 = 46,354.06/x
  3. Step 3: Cross multiply
    84,594.97x = 116,735.63 × 46,354.06
  4. Step 4: Simplify right side
    84,594.97x = 5,411,169,873.55
  5. Step 5: Solve for x
    x = 5,411,169,873.55/84,594.97
  6. Step 6: Final answer
    x = 63,965.62

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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.