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Finding the Fourth Proportional to 31,511.50, 47,274.93 and 9,623.50

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Solution

The fourth proportional to 31,511.50, 47,274.93 and 9,623.50 is: 14,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.50 : 47,274.93 = 9,623.50 : x
  2. Step 2: Convert to fraction form
    31,511.50/47,274.93 = 9,623.50/x
  3. Step 3: Cross multiply
    31,511.50x = 47,274.93 × 9,623.50
  4. Step 4: Simplify right side
    31,511.50x = 454,950,288.86
  5. Step 5: Solve for x
    x = 454,950,288.86/31,511.50
  6. Step 6: Final answer
    x = 14,437.60

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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.