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Finding the Fourth Proportional to 31,931.73, 47,897.44 and 9,745.03

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Solution

The fourth proportional to 31,931.73, 47,897.44 and 9,745.03 is: 14,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931.73 : 47,897.44 = 9,745.03 : x
  2. Step 2: Convert to fraction form
    31,931.73/47,897.44 = 9,745.03/x
  3. Step 3: Cross multiply
    31,931.73x = 47,897.44 × 9,745.03
  4. Step 4: Simplify right side
    31,931.73x = 466,761,989.72
  5. Step 5: Solve for x
    x = 466,761,989.72/31,931.73
  6. Step 6: Final answer
    x = 14,617.50

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1.5x scale

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.