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Finding the Fourth Proportional to 85,546.38, 118,053.78 and 46,784.22

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Solution

The fourth proportional to 85,546.38, 118,053.78 and 46,784.22 is: 64,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,546.38 : 118,053.78 = 46,784.22 : x
  2. Step 2: Convert to fraction form
    85,546.38/118,053.78 = 46,784.22/x
  3. Step 3: Cross multiply
    85,546.38x = 118,053.78 × 46,784.22
  4. Step 4: Simplify right side
    85,546.38x = 5,523,054,015.35
  5. Step 5: Solve for x
    x = 5,523,054,015.35/85,546.38
  6. Step 6: Final answer
    x = 64,562.10

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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.