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Finding the Fourth Proportional to 83,734.64, 115,553.82 and 46,008.90

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Solution

The fourth proportional to 83,734.64, 115,553.82 and 46,008.90 is: 63,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,734.64 : 115,553.82 = 46,008.90 : x
  2. Step 2: Convert to fraction form
    83,734.64/115,553.82 = 46,008.90/x
  3. Step 3: Cross multiply
    83,734.64x = 115,553.82 × 46,008.90
  4. Step 4: Simplify right side
    83,734.64x = 5,316,504,149.00
  5. Step 5: Solve for x
    x = 5,316,504,149.00/83,734.64
  6. Step 6: Final answer
    x = 63,492.29

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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.