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Finding the Fourth Proportional to 54,722.89, 75,511.16 and 30,848.14

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Solution

The fourth proportional to 54,722.89, 75,511.16 and 30,848.14 is: 42,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,722.89 : 75,511.16 = 30,848.14 : x
  2. Step 2: Convert to fraction form
    54,722.89/75,511.16 = 30,848.14/x
  3. Step 3: Cross multiply
    54,722.89x = 75,511.16 × 30,848.14
  4. Step 4: Simplify right side
    54,722.89x = 2,329,378,492.22
  5. Step 5: Solve for x
    x = 2,329,378,492.22/54,722.89
  6. Step 6: Final answer
    x = 42,566.81

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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.