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Finding the Fourth Proportional to 83,592.94, 115,366.53 and 47,788.12

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Solution

The fourth proportional to 83,592.94, 115,366.53 and 47,788.12 is: 65,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,592.94 : 115,366.53 = 47,788.12 : x
  2. Step 2: Convert to fraction form
    83,592.94/115,366.53 = 47,788.12/x
  3. Step 3: Cross multiply
    83,592.94x = 115,366.53 × 47,788.12
  4. Step 4: Simplify right side
    83,592.94x = 5,513,149,579.62
  5. Step 5: Solve for x
    x = 5,513,149,579.62/83,592.94
  6. Step 6: Final answer
    x = 65,952.33

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1.5x scale

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.