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Finding the Fourth Proportional to 31,006.64, 46,487.64 and 15,205.52

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Solution

The fourth proportional to 31,006.64, 46,487.64 and 15,205.52 is: 22,797.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.64 : 46,487.64 = 15,205.52 : x
  2. Step 2: Convert to fraction form
    31,006.64/46,487.64 = 15,205.52/x
  3. Step 3: Cross multiply
    31,006.64x = 46,487.64 × 15,205.52
  4. Step 4: Simplify right side
    31,006.64x = 706,868,739.77
  5. Step 5: Solve for x
    x = 706,868,739.77/31,006.64
  6. Step 6: Final answer
    x = 22,797.33

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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.