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Finding the Fourth Proportional to 51,798.86, 71,456.54 and 32,702.30

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Solution

The fourth proportional to 51,798.86, 71,456.54 and 32,702.30 is: 45,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.86 : 71,456.54 = 32,702.30 : x
  2. Step 2: Convert to fraction form
    51,798.86/71,456.54 = 32,702.30/x
  3. Step 3: Cross multiply
    51,798.86x = 71,456.54 × 32,702.30
  4. Step 4: Simplify right side
    51,798.86x = 2,336,793,208.04
  5. Step 5: Solve for x
    x = 2,336,793,208.04/51,798.86
  6. Step 6: Final answer
    x = 45,112.83

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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.