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Finding the Fourth Proportional to 55,383.49, 76,428.24 and 31,509.65

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Solution

The fourth proportional to 55,383.49, 76,428.24 and 31,509.65 is: 43,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,383.49 : 76,428.24 = 31,509.65 : x
  2. Step 2: Convert to fraction form
    55,383.49/76,428.24 = 31,509.65/x
  3. Step 3: Cross multiply
    55,383.49x = 76,428.24 × 31,509.65
  4. Step 4: Simplify right side
    55,383.49x = 2,408,227,092.52
  5. Step 5: Solve for x
    x = 2,408,227,092.52/55,383.49
  6. Step 6: Final answer
    x = 43,482.76

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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.