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Finding the Fourth Proportional to 31,461.87, 47,191.73 and 9,274.35

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Solution

The fourth proportional to 31,461.87, 47,191.73 and 9,274.35 is: 13,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.87 : 47,191.73 = 9,274.35 : x
  2. Step 2: Convert to fraction form
    31,461.87/47,191.73 = 9,274.35/x
  3. Step 3: Cross multiply
    31,461.87x = 47,191.73 × 9,274.35
  4. Step 4: Simplify right side
    31,461.87x = 437,672,574.75
  5. Step 5: Solve for x
    x = 437,672,574.75/31,461.87
  6. Step 6: Final answer
    x = 13,911.21

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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.