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Finding the Fourth Proportional to 85,174.36, 127,784.60 and 32,585.56

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Solution

The fourth proportional to 85,174.36, 127,784.60 and 32,585.56 is: 48,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,174.36 : 127,784.60 = 32,585.56 : x
  2. Step 2: Convert to fraction form
    85,174.36/127,784.60 = 32,585.56/x
  3. Step 3: Cross multiply
    85,174.36x = 127,784.60 × 32,585.56
  4. Step 4: Simplify right side
    85,174.36x = 4,163,932,750.38
  5. Step 5: Solve for x
    x = 4,163,932,750.38/85,174.36
  6. Step 6: Final answer
    x = 48,887.16

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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.