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Finding the Fourth Proportional to 56,431.82, 84,675.46 and 22,696.49

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Solution

The fourth proportional to 56,431.82, 84,675.46 and 22,696.49 is: 34,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,431.82 : 84,675.46 = 22,696.49 : x
  2. Step 2: Convert to fraction form
    56,431.82/84,675.46 = 22,696.49/x
  3. Step 3: Cross multiply
    56,431.82x = 84,675.46 × 22,696.49
  4. Step 4: Simplify right side
    56,431.82x = 1,921,835,731.14
  5. Step 5: Solve for x
    x = 1,921,835,731.14/56,431.82
  6. Step 6: Final answer
    x = 34,055.89

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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.