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Finding the Fourth Proportional to 52,324.81, 72,206.71 and 29,665.89

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Solution

The fourth proportional to 52,324.81, 72,206.71 and 29,665.89 is: 40,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,324.81 : 72,206.71 = 29,665.89 : x
  2. Step 2: Convert to fraction form
    52,324.81/72,206.71 = 29,665.89/x
  3. Step 3: Cross multiply
    52,324.81x = 72,206.71 × 29,665.89
  4. Step 4: Simplify right side
    52,324.81x = 2,142,076,241.96
  5. Step 5: Solve for x
    x = 2,142,076,241.96/52,324.81
  6. Step 6: Final answer
    x = 40,938.06

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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.