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Finding the Fourth Proportional to 83,059.62, 114,609.86 and 46,755.76

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Solution

The fourth proportional to 83,059.62, 114,609.86 and 46,755.76 is: 64,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,059.62 : 114,609.86 = 46,755.76 : x
  2. Step 2: Convert to fraction form
    83,059.62/114,609.86 = 46,755.76/x
  3. Step 3: Cross multiply
    83,059.62x = 114,609.86 × 46,755.76
  4. Step 4: Simplify right side
    83,059.62x = 5,358,671,107.79
  5. Step 5: Solve for x
    x = 5,358,671,107.79/83,059.62
  6. Step 6: Final answer
    x = 64,515.96

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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.