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Finding the Fourth Proportional to 31,006.60, 46,506.30 and 8,823.40

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Solution

The fourth proportional to 31,006.60, 46,506.30 and 8,823.40 is: 13,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.60 : 46,506.30 = 8,823.40 : x
  2. Step 2: Convert to fraction form
    31,006.60/46,506.30 = 8,823.40/x
  3. Step 3: Cross multiply
    31,006.60x = 46,506.30 × 8,823.40
  4. Step 4: Simplify right side
    31,006.60x = 410,343,687.42
  5. Step 5: Solve for x
    x = 410,343,687.42/31,006.60
  6. Step 6: Final answer
    x = 13,234.08

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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.