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Finding the Fourth Proportional to 84,385.63, 116,451.87 and 47,588.92

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Solution

The fourth proportional to 84,385.63, 116,451.87 and 47,588.92 is: 65,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,385.63 : 116,451.87 = 47,588.92 : x
  2. Step 2: Convert to fraction form
    84,385.63/116,451.87 = 47,588.92/x
  3. Step 3: Cross multiply
    84,385.63x = 116,451.87 × 47,588.92
  4. Step 4: Simplify right side
    84,385.63x = 5,541,818,725.28
  5. Step 5: Solve for x
    x = 5,541,818,725.28/84,385.63
  6. Step 6: Final answer
    x = 65,672.54

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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.