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Finding the Fourth Proportional to 31,925.84, 47,896.27 and 9,739.22

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Solution

The fourth proportional to 31,925.84, 47,896.27 and 9,739.22 is: 14,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925.84 : 47,896.27 = 9,739.22 : x
  2. Step 2: Convert to fraction form
    31,925.84/47,896.27 = 9,739.22/x
  3. Step 3: Cross multiply
    31,925.84x = 47,896.27 × 9,739.22
  4. Step 4: Simplify right side
    31,925.84x = 466,472,406.10
  5. Step 5: Solve for x
    x = 466,472,406.10/31,925.84
  6. Step 6: Final answer
    x = 14,611.12

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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.