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Finding the Fourth Proportional to 31,342.53, 47,015.37 and 10,280.71

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Solution

The fourth proportional to 31,342.53, 47,015.37 and 10,280.71 is: 15,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,342.53 : 47,015.37 = 10,280.71 : x
  2. Step 2: Convert to fraction form
    31,342.53/47,015.37 = 10,280.71/x
  3. Step 3: Cross multiply
    31,342.53x = 47,015.37 × 10,280.71
  4. Step 4: Simplify right side
    31,342.53x = 483,351,443.28
  5. Step 5: Solve for x
    x = 483,351,443.28/31,342.53
  6. Step 6: Final answer
    x = 15,421.58

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