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Finding the Fourth Proportional to 83,416.71, 115,113.92 and 47,627.67

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Solution

The fourth proportional to 83,416.71, 115,113.92 and 47,627.67 is: 65,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,416.71 : 115,113.92 = 47,627.67 : x
  2. Step 2: Convert to fraction form
    83,416.71/115,113.92 = 47,627.67/x
  3. Step 3: Cross multiply
    83,416.71x = 115,113.92 × 47,627.67
  4. Step 4: Simplify right side
    83,416.71x = 5,482,607,556.03
  5. Step 5: Solve for x
    x = 5,482,607,556.03/83,416.71
  6. Step 6: Final answer
    x = 65,725.53

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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.