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Finding the Fourth Proportional to 31,526.84, 43,509 and 17,379.66

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Solution

The fourth proportional to 31,526.84, 43,509 and 17,379.66 is: 23,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,526.84 : 43,509 = 17,379.66 : x
  2. Step 2: Convert to fraction form
    31,526.84/43,509 = 17,379.66/x
  3. Step 3: Cross multiply
    31,526.84x = 43,509 × 17,379.66
  4. Step 4: Simplify right side
    31,526.84x = 756,171,626.94
  5. Step 5: Solve for x
    x = 756,171,626.94/31,526.84
  6. Step 6: Final answer
    x = 23,985.01

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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.