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Finding the Fourth Proportional to 84,755, 116,961.90 and 47,035.32

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Solution

The fourth proportional to 84,755, 116,961.90 and 47,035.32 is: 64,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,755 : 116,961.90 = 47,035.32 : x
  2. Step 2: Convert to fraction form
    84,755/116,961.90 = 47,035.32/x
  3. Step 3: Cross multiply
    84,755x = 116,961.90 × 47,035.32
  4. Step 4: Simplify right side
    84,755x = 5,501,340,394.31
  5. Step 5: Solve for x
    x = 5,501,340,394.31/84,755
  6. Step 6: Final answer
    x = 64,908.74

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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.