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Finding the Fourth Proportional to 31,604.07, 47,406.09 and 8,230.51

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Solution

The fourth proportional to 31,604.07, 47,406.09 and 8,230.51 is: 12,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.07 : 47,406.09 = 8,230.51 : x
  2. Step 2: Convert to fraction form
    31,604.07/47,406.09 = 8,230.51/x
  3. Step 3: Cross multiply
    31,604.07x = 47,406.09 × 8,230.51
  4. Step 4: Simplify right side
    31,604.07x = 390,176,060.78
  5. Step 5: Solve for x
    x = 390,176,060.78/31,604.07
  6. Step 6: Final answer
    x = 12,345.75

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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.