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Finding the Fourth Proportional to 31,117.20, 46,675.80 and 15,532.80

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Solution

The fourth proportional to 31,117.20, 46,675.80 and 15,532.80 is: 23,299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117.20 : 46,675.80 = 15,532.80 : x
  2. Step 2: Convert to fraction form
    31,117.20/46,675.80 = 15,532.80/x
  3. Step 3: Cross multiply
    31,117.20x = 46,675.80 × 15,532.80
  4. Step 4: Simplify right side
    31,117.20x = 725,005,866.24
  5. Step 5: Solve for x
    x = 725,005,866.24/31,117.20
  6. Step 6: Final answer
    x = 23,299.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.