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Finding the Fourth Proportional to 31,545.93, 47,312.21 and 11,825.94

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Solution

The fourth proportional to 31,545.93, 47,312.21 and 11,825.94 is: 17,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,545.93 : 47,312.21 = 11,825.94 : x
  2. Step 2: Convert to fraction form
    31,545.93/47,312.21 = 11,825.94/x
  3. Step 3: Cross multiply
    31,545.93x = 47,312.21 × 11,825.94
  4. Step 4: Simplify right side
    31,545.93x = 559,511,563.71
  5. Step 5: Solve for x
    x = 559,511,563.71/31,545.93
  6. Step 6: Final answer
    x = 17,736.41

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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.