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Finding the Fourth Proportional to 52,548.89, 72,517.44 and 33,686

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Solution

The fourth proportional to 52,548.89, 72,517.44 and 33,686 is: 46,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,548.89 : 72,517.44 = 33,686 : x
  2. Step 2: Convert to fraction form
    52,548.89/72,517.44 = 33,686/x
  3. Step 3: Cross multiply
    52,548.89x = 72,517.44 × 33,686
  4. Step 4: Simplify right side
    52,548.89x = 2,442,822,483.84
  5. Step 5: Solve for x
    x = 2,442,822,483.84/52,548.89
  6. Step 6: Final answer
    x = 46,486.66

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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.