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Finding the Fourth Proportional to 52,540.61, 72,506.03 and 33,677.73

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Solution

The fourth proportional to 52,540.61, 72,506.03 and 33,677.73 is: 46,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,540.61 : 72,506.03 = 33,677.73 : x
  2. Step 2: Convert to fraction form
    52,540.61/72,506.03 = 33,677.73/x
  3. Step 3: Cross multiply
    52,540.61x = 72,506.03 × 33,677.73
  4. Step 4: Simplify right side
    52,540.61x = 2,441,838,333.32
  5. Step 5: Solve for x
    x = 2,441,838,333.32/52,540.61
  6. Step 6: Final answer
    x = 46,475.26

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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.