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Finding the Fourth Proportional to 27,312.99, 37,689.31 and 20,146.80

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Solution

The fourth proportional to 27,312.99, 37,689.31 and 20,146.80 is: 27,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.99 : 37,689.31 = 20,146.80 : x
  2. Step 2: Convert to fraction form
    27,312.99/37,689.31 = 20,146.80/x
  3. Step 3: Cross multiply
    27,312.99x = 37,689.31 × 20,146.80
  4. Step 4: Simplify right side
    27,312.99x = 759,318,990.71
  5. Step 5: Solve for x
    x = 759,318,990.71/27,312.99
  6. Step 6: Final answer
    x = 27,800.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.