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Finding the Fourth Proportional to 52,740, 72,769.59 and 32,326.38

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Solution

The fourth proportional to 52,740, 72,769.59 and 32,326.38 is: 44,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,740 : 72,769.59 = 32,326.38 : x
  2. Step 2: Convert to fraction form
    52,740/72,769.59 = 32,326.38/x
  3. Step 3: Cross multiply
    52,740x = 72,769.59 × 32,326.38
  4. Step 4: Simplify right side
    52,740x = 2,352,377,418.78
  5. Step 5: Solve for x
    x = 2,352,377,418.78/52,740
  6. Step 6: Final answer
    x = 44,603.29

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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.