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Finding the Fourth Proportional to 31,745.93, 47,628.41 and 9,560.03

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Solution

The fourth proportional to 31,745.93, 47,628.41 and 9,560.03 is: 14,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.93 : 47,628.41 = 9,560.03 : x
  2. Step 2: Convert to fraction form
    31,745.93/47,628.41 = 9,560.03/x
  3. Step 3: Cross multiply
    31,745.93x = 47,628.41 × 9,560.03
  4. Step 4: Simplify right side
    31,745.93x = 455,328,742.51
  5. Step 5: Solve for x
    x = 455,328,742.51/31,745.93
  6. Step 6: Final answer
    x = 14,342.90

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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.