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Finding the Fourth Proportional to 83,592.98, 115,358.30 and 47,783.75

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Solution

The fourth proportional to 83,592.98, 115,358.30 and 47,783.75 is: 65,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,592.98 : 115,358.30 = 47,783.75 : x
  2. Step 2: Convert to fraction form
    83,592.98/115,358.30 = 47,783.75/x
  3. Step 3: Cross multiply
    83,592.98x = 115,358.30 × 47,783.75
  4. Step 4: Simplify right side
    83,592.98x = 5,512,252,217.10
  5. Step 5: Solve for x
    x = 5,512,252,217.10/83,592.98
  6. Step 6: Final answer
    x = 65,941.57

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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.