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Finding the Fourth Proportional to 83,813.81, 115,630.34 and 47,984.67

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Solution

The fourth proportional to 83,813.81, 115,630.34 and 47,984.67 is: 66,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,813.81 : 115,630.34 = 47,984.67 : x
  2. Step 2: Convert to fraction form
    83,813.81/115,630.34 = 47,984.67/x
  3. Step 3: Cross multiply
    83,813.81x = 115,630.34 × 47,984.67
  4. Step 4: Simplify right side
    83,813.81x = 5,548,483,466.96
  5. Step 5: Solve for x
    x = 5,548,483,466.96/83,813.81
  6. Step 6: Final answer
    x = 66,200.11

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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.