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Finding the Fourth Proportional to 82,164.66, 113,385.12 and 46,351.86

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Solution

The fourth proportional to 82,164.66, 113,385.12 and 46,351.86 is: 63,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,164.66 : 113,385.12 = 46,351.86 : x
  2. Step 2: Convert to fraction form
    82,164.66/113,385.12 = 46,351.86/x
  3. Step 3: Cross multiply
    82,164.66x = 113,385.12 × 46,351.86
  4. Step 4: Simplify right side
    82,164.66x = 5,255,611,208.32
  5. Step 5: Solve for x
    x = 5,255,611,208.32/82,164.66
  6. Step 6: Final answer
    x = 63,964.38

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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.