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Finding the Fourth Proportional to 27,275.14, 40,902.63 and 21,443.14

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Solution

The fourth proportional to 27,275.14, 40,902.63 and 21,443.14 is: 32,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,275.14 : 40,902.63 = 21,443.14 : x
  2. Step 2: Convert to fraction form
    27,275.14/40,902.63 = 21,443.14/x
  3. Step 3: Cross multiply
    27,275.14x = 40,902.63 × 21,443.14
  4. Step 4: Simplify right side
    27,275.14x = 877,080,821.46
  5. Step 5: Solve for x
    x = 877,080,821.46/27,275.14
  6. Step 6: Final answer
    x = 32,156.79

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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.