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Finding the Fourth Proportional to 85,276.53, 127,933.29 and 32,686.07

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Solution

The fourth proportional to 85,276.53, 127,933.29 and 32,686.07 is: 49,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,276.53 : 127,933.29 = 32,686.07 : x
  2. Step 2: Convert to fraction form
    85,276.53/127,933.29 = 32,686.07/x
  3. Step 3: Cross multiply
    85,276.53x = 127,933.29 × 32,686.07
  4. Step 4: Simplify right side
    85,276.53x = 4,181,635,832.60
  5. Step 5: Solve for x
    x = 4,181,635,832.60/85,276.53
  6. Step 6: Final answer
    x = 49,036.19

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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.