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Finding the Fourth Proportional to 31,288.27, 46,932 and 7,596

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Solution

The fourth proportional to 31,288.27, 46,932 and 7,596 is: 11,393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,288.27 : 46,932 = 7,596 : x
  2. Step 2: Convert to fraction form
    31,288.27/46,932 = 7,596/x
  3. Step 3: Cross multiply
    31,288.27x = 46,932 × 7,596
  4. Step 4: Simplify right side
    31,288.27x = 356,495,472
  5. Step 5: Solve for x
    x = 356,495,472/31,288.27
  6. Step 6: Final answer
    x = 11,393.90

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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.