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Finding the Fourth Proportional to 47,083, 64,976.02 and 25,863

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Solution

The fourth proportional to 47,083, 64,976.02 and 25,863 is: 35,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,083 : 64,976.02 = 25,863 : x
  2. Step 2: Convert to fraction form
    47,083/64,976.02 = 25,863/x
  3. Step 3: Cross multiply
    47,083x = 64,976.02 × 25,863
  4. Step 4: Simplify right side
    47,083x = 1,680,474,805.26
  5. Step 5: Solve for x
    x = 1,680,474,805.26/47,083
  6. Step 6: Final answer
    x = 35,691.75

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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.