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Finding the Fourth Proportional to 31,407.92, 47,111.64 and 8,034.32

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Solution

The fourth proportional to 31,407.92, 47,111.64 and 8,034.32 is: 12,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.92 : 47,111.64 = 8,034.32 : x
  2. Step 2: Convert to fraction form
    31,407.92/47,111.64 = 8,034.32/x
  3. Step 3: Cross multiply
    31,407.92x = 47,111.64 × 8,034.32
  4. Step 4: Simplify right side
    31,407.92x = 378,509,991.48
  5. Step 5: Solve for x
    x = 378,509,991.48/31,407.92
  6. Step 6: Final answer
    x = 12,051.42

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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.