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Finding the Fourth Proportional to 85,301.40, 127,844.10 and 32,640.60

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Solution

The fourth proportional to 85,301.40, 127,844.10 and 32,640.60 is: 48,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,301.40 : 127,844.10 = 32,640.60 : x
  2. Step 2: Convert to fraction form
    85,301.40/127,844.10 = 32,640.60/x
  3. Step 3: Cross multiply
    85,301.40x = 127,844.10 × 32,640.60
  4. Step 4: Simplify right side
    85,301.40x = 4,172,908,130.46
  5. Step 5: Solve for x
    x = 4,172,908,130.46/85,301.40
  6. Step 6: Final answer
    x = 48,919.57

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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.