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Finding the Fourth Proportional to 32,356.51, 48,534.79 and 10,171.82

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Solution

The fourth proportional to 32,356.51, 48,534.79 and 10,171.82 is: 15,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,356.51 : 48,534.79 = 10,171.82 : x
  2. Step 2: Convert to fraction form
    32,356.51/48,534.79 = 10,171.82/x
  3. Step 3: Cross multiply
    32,356.51x = 48,534.79 × 10,171.82
  4. Step 4: Simplify right side
    32,356.51x = 493,687,147.62
  5. Step 5: Solve for x
    x = 493,687,147.62/32,356.51
  6. Step 6: Final answer
    x = 15,257.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.