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Finding the Fourth Proportional to 31,738.86, 47,608.65 and 10,957.50

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Solution

The fourth proportional to 31,738.86, 47,608.65 and 10,957.50 is: 16,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,738.86 : 47,608.65 = 10,957.50 : x
  2. Step 2: Convert to fraction form
    31,738.86/47,608.65 = 10,957.50/x
  3. Step 3: Cross multiply
    31,738.86x = 47,608.65 × 10,957.50
  4. Step 4: Simplify right side
    31,738.86x = 521,671,782.38
  5. Step 5: Solve for x
    x = 521,671,782.38/31,738.86
  6. Step 6: Final answer
    x = 16,436.37

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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.