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Finding the Fourth Proportional to 31,020.34, 46,530.80 and 8,833.70

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Solution

The fourth proportional to 31,020.34, 46,530.80 and 8,833.70 is: 13,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,020.34 : 46,530.80 = 8,833.70 : x
  2. Step 2: Convert to fraction form
    31,020.34/46,530.80 = 8,833.70/x
  3. Step 3: Cross multiply
    31,020.34x = 46,530.80 × 8,833.70
  4. Step 4: Simplify right side
    31,020.34x = 411,039,127.96
  5. Step 5: Solve for x
    x = 411,039,127.96/31,020.34
  6. Step 6: Final answer
    x = 13,250.63

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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.