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Finding the Fourth Proportional to 56,273.20, 77,654.50 and 32,394.80

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Solution

The fourth proportional to 56,273.20, 77,654.50 and 32,394.80 is: 44,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,273.20 : 77,654.50 = 32,394.80 : x
  2. Step 2: Convert to fraction form
    56,273.20/77,654.50 = 32,394.80/x
  3. Step 3: Cross multiply
    56,273.20x = 77,654.50 × 32,394.80
  4. Step 4: Simplify right side
    56,273.20x = 2,515,602,109.75
  5. Step 5: Solve for x
    x = 2,515,602,109.75/56,273.20
  6. Step 6: Final answer
    x = 44,703.38

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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.