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Finding the Fourth Proportional to 52,206, 72,044.28 and 29,544.60

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Solution

The fourth proportional to 52,206, 72,044.28 and 29,544.60 is: 40,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,206 : 72,044.28 = 29,544.60 : x
  2. Step 2: Convert to fraction form
    52,206/72,044.28 = 29,544.60/x
  3. Step 3: Cross multiply
    52,206x = 72,044.28 × 29,544.60
  4. Step 4: Simplify right side
    52,206x = 2,128,519,434.89
  5. Step 5: Solve for x
    x = 2,128,519,434.89/52,206
  6. Step 6: Final answer
    x = 40,771.55

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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.