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Finding the Fourth Proportional to 38,002.44, 52,458 and 34,016.52

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Solution

The fourth proportional to 38,002.44, 52,458 and 34,016.52 is: 46,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002.44 : 52,458 = 34,016.52 : x
  2. Step 2: Convert to fraction form
    38,002.44/52,458 = 34,016.52/x
  3. Step 3: Cross multiply
    38,002.44x = 52,458 × 34,016.52
  4. Step 4: Simplify right side
    38,002.44x = 1,784,438,606.16
  5. Step 5: Solve for x
    x = 1,784,438,606.16/38,002.44
  6. Step 6: Final answer
    x = 46,955.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.