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Finding the Fourth Proportional to 31,825.20, 47,737.95 and 9,638.79

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Solution

The fourth proportional to 31,825.20, 47,737.95 and 9,638.79 is: 14,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825.20 : 47,737.95 = 9,638.79 : x
  2. Step 2: Convert to fraction form
    31,825.20/47,737.95 = 9,638.79/x
  3. Step 3: Cross multiply
    31,825.20x = 47,737.95 × 9,638.79
  4. Step 4: Simplify right side
    31,825.20x = 460,136,075.08
  5. Step 5: Solve for x
    x = 460,136,075.08/31,825.20
  6. Step 6: Final answer
    x = 14,458.23

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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.