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Finding the Fourth Proportional to 85,082.28, 127,544.55 and 37,672.11

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Solution

The fourth proportional to 85,082.28, 127,544.55 and 37,672.11 is: 56,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,082.28 : 127,544.55 = 37,672.11 : x
  2. Step 2: Convert to fraction form
    85,082.28/127,544.55 = 37,672.11/x
  3. Step 3: Cross multiply
    85,082.28x = 127,544.55 × 37,672.11
  4. Step 4: Simplify right side
    85,082.28x = 4,804,872,317.50
  5. Step 5: Solve for x
    x = 4,804,872,317.50/85,082.28
  6. Step 6: Final answer
    x = 56,473.24

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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.