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Finding the Fourth Proportional to 52,895.82, 72,996.12 and 29,022.78

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Solution

The fourth proportional to 52,895.82, 72,996.12 and 29,022.78 is: 40,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,895.82 : 72,996.12 = 29,022.78 : x
  2. Step 2: Convert to fraction form
    52,895.82/72,996.12 = 29,022.78/x
  3. Step 3: Cross multiply
    52,895.82x = 72,996.12 × 29,022.78
  4. Step 4: Simplify right side
    52,895.82x = 2,118,550,331.61
  5. Step 5: Solve for x
    x = 2,118,550,331.61/52,895.82
  6. Step 6: Final answer
    x = 40,051.38

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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.