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Finding the Fourth Proportional to 52,647.82, 72,652.86 and 29,677.48

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Solution

The fourth proportional to 52,647.82, 72,652.86 and 29,677.48 is: 40,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647.82 : 72,652.86 = 29,677.48 : x
  2. Step 2: Convert to fraction form
    52,647.82/72,652.86 = 29,677.48/x
  3. Step 3: Cross multiply
    52,647.82x = 72,652.86 × 29,677.48
  4. Step 4: Simplify right side
    52,647.82x = 2,156,153,799.59
  5. Step 5: Solve for x
    x = 2,156,153,799.59/52,647.82
  6. Step 6: Final answer
    x = 40,954.28

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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.