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Finding the Fourth Proportional to 54,950.29, 82,424.53 and 17,509.85

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Solution

The fourth proportional to 54,950.29, 82,424.53 and 17,509.85 is: 26,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,950.29 : 82,424.53 = 17,509.85 : x
  2. Step 2: Convert to fraction form
    54,950.29/82,424.53 = 17,509.85/x
  3. Step 3: Cross multiply
    54,950.29x = 82,424.53 × 17,509.85
  4. Step 4: Simplify right side
    54,950.29x = 1,443,241,075.48
  5. Step 5: Solve for x
    x = 1,443,241,075.48/54,950.29
  6. Step 6: Final answer
    x = 26,264.49

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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.