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Finding the Fourth Proportional to 31,803.57, 47,699.96 and 8,432.37

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Solution

The fourth proportional to 31,803.57, 47,699.96 and 8,432.37 is: 12,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.57 : 47,699.96 = 8,432.37 : x
  2. Step 2: Convert to fraction form
    31,803.57/47,699.96 = 8,432.37/x
  3. Step 3: Cross multiply
    31,803.57x = 47,699.96 × 8,432.37
  4. Step 4: Simplify right side
    31,803.57x = 402,223,669.54
  5. Step 5: Solve for x
    x = 402,223,669.54/31,803.57
  6. Step 6: Final answer
    x = 12,647.12

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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.