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Finding the Fourth Proportional to 31,340.96, 47,004.04 and 14,712.48

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Solution

The fourth proportional to 31,340.96, 47,004.04 and 14,712.48 is: 22,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.96 : 47,004.04 = 14,712.48 : x
  2. Step 2: Convert to fraction form
    31,340.96/47,004.04 = 14,712.48/x
  3. Step 3: Cross multiply
    31,340.96x = 47,004.04 × 14,712.48
  4. Step 4: Simplify right side
    31,340.96x = 691,545,998.42
  5. Step 5: Solve for x
    x = 691,545,998.42/31,340.96
  6. Step 6: Final answer
    x = 22,065.25

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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.