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Finding the Fourth Proportional to 85,268.80, 127,830.27 and 32,716

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Solution

The fourth proportional to 85,268.80, 127,830.27 and 32,716 is: 49,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,268.80 : 127,830.27 = 32,716 : x
  2. Step 2: Convert to fraction form
    85,268.80/127,830.27 = 32,716/x
  3. Step 3: Cross multiply
    85,268.80x = 127,830.27 × 32,716
  4. Step 4: Simplify right side
    85,268.80x = 4,182,095,113.32
  5. Step 5: Solve for x
    x = 4,182,095,113.32/85,268.80
  6. Step 6: Final answer
    x = 49,046.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.