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Finding the Fourth Proportional to 31,598.40, 43,603.59 and 17,450.13

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Solution

The fourth proportional to 31,598.40, 43,603.59 and 17,450.13 is: 24,079.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.40 : 43,603.59 = 17,450.13 : x
  2. Step 2: Convert to fraction form
    31,598.40/43,603.59 = 17,450.13/x
  3. Step 3: Cross multiply
    31,598.40x = 43,603.59 × 17,450.13
  4. Step 4: Simplify right side
    31,598.40x = 760,888,313.97
  5. Step 5: Solve for x
    x = 760,888,313.97/31,598.40
  6. Step 6: Final answer
    x = 24,079.96

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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.