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Finding the Fourth Proportional to 85,735, 118,310.84 and 47,492.32

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Solution

The fourth proportional to 85,735, 118,310.84 and 47,492.32 is: 65,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,735 : 118,310.84 = 47,492.32 : x
  2. Step 2: Convert to fraction form
    85,735/118,310.84 = 47,492.32/x
  3. Step 3: Cross multiply
    85,735x = 118,310.84 × 47,492.32
  4. Step 4: Simplify right side
    85,735x = 5,618,856,272.75
  5. Step 5: Solve for x
    x = 5,618,856,272.75/85,735
  6. Step 6: Final answer
    x = 65,537.48

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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.