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Finding the Fourth Proportional to 31,896.29, 47,826.20 and 9,703.10

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Solution

The fourth proportional to 31,896.29, 47,826.20 and 9,703.10 is: 14,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.29 : 47,826.20 = 9,703.10 : x
  2. Step 2: Convert to fraction form
    31,896.29/47,826.20 = 9,703.10/x
  3. Step 3: Cross multiply
    31,896.29x = 47,826.20 × 9,703.10
  4. Step 4: Simplify right side
    31,896.29x = 464,062,113.57
  5. Step 5: Solve for x
    x = 464,062,113.57/31,896.29
  6. Step 6: Final answer
    x = 14,549.10

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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.