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Finding the Fourth Proportional to 31,790.45, 47,686.04 and 9,604.01

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Solution

The fourth proportional to 31,790.45, 47,686.04 and 9,604.01 is: 14,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790.45 : 47,686.04 = 9,604.01 : x
  2. Step 2: Convert to fraction form
    31,790.45/47,686.04 = 9,604.01/x
  3. Step 3: Cross multiply
    31,790.45x = 47,686.04 × 9,604.01
  4. Step 4: Simplify right side
    31,790.45x = 457,977,205.02
  5. Step 5: Solve for x
    x = 457,977,205.02/31,790.45
  6. Step 6: Final answer
    x = 14,406.13

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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.