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Finding the Fourth Proportional to 83,617.67, 115,392.46 and 47,808.43

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Solution

The fourth proportional to 83,617.67, 115,392.46 and 47,808.43 is: 65,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,617.67 : 115,392.46 = 47,808.43 : x
  2. Step 2: Convert to fraction form
    83,617.67/115,392.46 = 47,808.43/x
  3. Step 3: Cross multiply
    83,617.67x = 115,392.46 × 47,808.43
  4. Step 4: Simplify right side
    83,617.67x = 5,516,731,530.43
  5. Step 5: Solve for x
    x = 5,516,731,530.43/83,617.67
  6. Step 6: Final answer
    x = 65,975.67

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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.