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Finding the Fourth Proportional to 85,340.46, 117,769.34 and 46,578.30

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Solution

The fourth proportional to 85,340.46, 117,769.34 and 46,578.30 is: 64,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,340.46 : 117,769.34 = 46,578.30 : x
  2. Step 2: Convert to fraction form
    85,340.46/117,769.34 = 46,578.30/x
  3. Step 3: Cross multiply
    85,340.46x = 117,769.34 × 46,578.30
  4. Step 4: Simplify right side
    85,340.46x = 5,485,495,649.32
  5. Step 5: Solve for x
    x = 5,485,495,649.32/85,340.46
  6. Step 6: Final answer
    x = 64,277.78

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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.