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Finding the Fourth Proportional to 52,536.81, 72,497.84 and 29,881.31

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Solution

The fourth proportional to 52,536.81, 72,497.84 and 29,881.31 is: 41,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,536.81 : 72,497.84 = 29,881.31 : x
  2. Step 2: Convert to fraction form
    52,536.81/72,497.84 = 29,881.31/x
  3. Step 3: Cross multiply
    52,536.81x = 72,497.84 × 29,881.31
  4. Step 4: Simplify right side
    52,536.81x = 2,166,329,919.47
  5. Step 5: Solve for x
    x = 2,166,329,919.47/52,536.81
  6. Step 6: Final answer
    x = 41,234.52

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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.