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Finding the Fourth Proportional to 83,594.97, 115,363.06 and 47,788.32

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Solution

The fourth proportional to 83,594.97, 115,363.06 and 47,788.32 is: 65,949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.97 : 115,363.06 = 47,788.32 : x
  2. Step 2: Convert to fraction form
    83,594.97/115,363.06 = 47,788.32/x
  3. Step 3: Cross multiply
    83,594.97x = 115,363.06 × 47,788.32
  4. Step 4: Simplify right side
    83,594.97x = 5,513,006,100.02
  5. Step 5: Solve for x
    x = 5,513,006,100.02/83,594.97
  6. Step 6: Final answer
    x = 65,949.01

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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.