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Finding the Fourth Proportional to 37,128.32, 55,740 and 31,896.80

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Solution

The fourth proportional to 37,128.32, 55,740 and 31,896.80 is: 47,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,128.32 : 55,740 = 31,896.80 : x
  2. Step 2: Convert to fraction form
    37,128.32/55,740 = 31,896.80/x
  3. Step 3: Cross multiply
    37,128.32x = 55,740 × 31,896.80
  4. Step 4: Simplify right side
    37,128.32x = 1,777,927,632
  5. Step 5: Solve for x
    x = 1,777,927,632/37,128.32
  6. Step 6: Final answer
    x = 47,886.02

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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.